Sommaire du Fascicule no. 1

The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices

Kenig, Carlos E. ; Ponce, Gustavo ; Vega, Luis

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p. 1-21

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Scattering theory for symmetric spaces of noncompact type

Phillips, Ralph S. ; Shahshahani, Mehrdad M.

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p. 1-29

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The variational contribution of the periodic orbits provided by the Birkhoff-Lewis theorem (with applications to convex Hamiltonians and to three-body-type problems)

Bahri, Abbes

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p. 1-205

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The differential form spectrum of manifolds of positive curvature

Escobar, Jose F. ; Freire, Alexandre

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p. 1-41

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A complete minimal Klein bottle in $\mathbb{R}^3$

López, Francisco J.

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p. 23-30

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On the asymptotic behavior of spherically symmetric wave maps

Christodoulou, Demetrios ; Tahvildar-Zadeh, A. Shadi

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p. 31-69

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The Genus-zero problem for $n \vert h$ -type groups

Ferenbaugh, Charles R.

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p. 31-63

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The penalized obstacle problem. I. Lipschitz regularity of level sets

Redondo, Juan C.

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p. 43-65

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Transcendental cycles on ordinary $K3$ surfaces over finite fields

Zarhin, Yuri G.

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p. 65-83

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The penalized obstacle problem. II. $C^{1,\alpha}$ regularity of level sets

Redondo, Juan C.

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p. 67-85

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Splitting of nonnegatively curved leaves in minimal sets of foliations

Adams, Scot ; Stuck, Garrett

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p. 71-92

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The fundamental domain of the tree of $GL(2)$ over the function field of an elliptic curve

Takahashi, Shuzo

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p. 85-97

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Décomposition du fibré normal des surfaces lisses de $\mathbb{P}_4$ et structures doubles sur les solides de $\mathbb{P}_5$

Basili, Bénédicte ; Peskine, Christian

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p. 87-95

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Centrally trivial automorphisms and an analogue of Connes’s $\chi(M)$ for subfactors

Kawahigashi, Yasuyuki

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p. 93-118

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Free products of hyperfinite von Neumann algebras and free dimension

Dykema, Ken

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p. 97-119

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Limits of tangent spaces to fibres and the $w_f$ condition

Parusiński, Adam

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p. 99-108

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$L^p - L^q$ estimates for functions of the Laplace-Beltrami operator on noncompact symmetric spaces. I

Cowling, Michael ; Giulini, Saverio ; Meda, Stefano

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p. 109-150

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Singularities of the solution to a certain Cauchy problem and an application to the Pompeiu problem

Ebenfelt, Peter

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p. 119-142

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Singular matrices and a uniform bound for congruence groups of $SL_n(\mathbf{Z})$

Katznelson, Y. R.

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p. 121-136

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Deux théorèmes de comparaison en cohomologie étale; applications

Kahn, Bruno

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p. 137-165

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Density of integer points on affine homogeneous varieties

Duke, W. ; Rudnick, Z. ; Sarnak, P.

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p. 143-179

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Willmore tori with umbilic lines and minimal surfaces in hyperbolic space

Babich, M. ; Bobenko, A.

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p. 151-185

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On the decomposition of a representation of $GL(3)$ restricted to $GL(2)$ over a $P$ -adic field

Prasad, Dipendra

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p. 167-177

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Cohomology of quantum groups at roots of unity

Ginzburg, Victor ; Kumar, Shrawan

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p. 179-198

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Mixing, counting, and equidistribution in Lie groups

Eskin, Alex ; McMullen, Curt

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p. 181-209

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NWO sequences, weighted potential operators, and Schrödinger eigenvalues

Rochberg, Richard

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p. 187-215

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Riemann surfaces and abelian varieties with an automorphism of prime order

Riera, Gonzalo ; RodrÍguez, RubÍ E.

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p. 199-217

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Topological invariants of affine hypersurfaces: connectivity, ends, and signature

Libgober, Anatoly

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p. 207-227

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Asymptotics of the determinant of the Laplacian on hyperbolic surfaces of finite volume

Lundelius, Rolf E.

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p. 211-242

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Abelianization of the second nonabelian Galois cohomology

Borovoi, Mikhail V.

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p. 217-239

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The $GL(3)$ Rankin-Selberg convolution for functions not of rapid decay

Lieman, Daniel B.

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p. 219-242

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The genus of projective curves

Chiantini, L. ; Ciliberto, C. ; Di Gennaro, V.

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p. 229-245

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Formal and $p$ -adic theory of differential systems with logarithmic singularities depending upon parameters

Baldassarri, Francesco ; Chiarellotto, Bruno

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p. 241-300

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Another proof of Sumihiro’s theorem on torus embeddings

Fine, Jonathan

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p. 243-245

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Asymptotic completeness for $N \leq 4$ particle systems with the Coulomb-type interactions

Sigal, I. M. ; Soffer, A.

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p. 243-298

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Locating the peaks of least-energy solutions to a semilinear Neumann problem

Ni, Wei-Ming ; Takagi, Izumi

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p. 247-281

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On the existence of positive solutions of nonlinear elliptic equations—a probabilistic potential theory approach

Zhao, Z.

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p. 247-258

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$p$ -ordinary cohomology groups for $\mathrm{SL}(2)$ over number fields

Hida, Haruzo

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p. 259-314

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Long-range one-particle scattering in a homogeneous magnetic field

Łaba, Izabella

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p. 283-303

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Rational and real homotopy theory with arbitrary fundamental groups

Brown, Jr., Edgar H. ; Szczarba, Robert H.

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p. 299-316

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La suite spectrale des poids en cohomologie de Hyodo-Kato

Mokrane, A.

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p. 301-337

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A trace formula for symmetric spaces

Jacquet, Hervé ; Lai, King F. ; Rallis, Stephen

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p. 305-372

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On the standard $L$ -function for $G_2$

Ginzburg, David

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p. 315-333

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When is a family of submanifolds locally diffeomorphic to a family of planes?

Goncharov, A. B.

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p. 317-331

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Addendum to: “A perturbation result in prescribing scalar curvature on $S^n$ ”

Chang, Sun-Yung Alice ; Yang, Paul C.

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p. 333-335

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Injective analytic maps

Némethi, András

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p. 335-347

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Fluxes, Laplacians, and Kasteleyn’s theorem

Lieb, Elliott H. ; Loss, Michael

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p. 337-363

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Compactness of conformal metrics with integral bounds on curvature

Gursky, Matthew J.

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p. 339-367

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Variations of the mixed Hodge structure of affine hypersurfaces in algebraic tori

Batyrev, Victor V.

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p. 349-409

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On the first Betti number of a hyperbolic manifold with an arithmetic fundamental group

Li, Jian-Shu ; Millson, John J.

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p. 365-401

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Variétés sphériques et théorie de Mori

Brion, Michel

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p. 369-404

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Generic rigorous asymptotic expansions for weakly nonlinear multidimensional oscillatory waves

Joly, J.-L. ; Metivier, G. ; Rauch, J.

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p. 373-404

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Monodromy of the hypergeometric differential equation of type $(3,6)$ , I

Matsumoto, Keiji ; Sasaki, Takeshi ; Takayama, Nobuki ; Yoshida, Masaaki

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p. 403-426

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The algebraic $K$ -theory of the classical groups and some twisted forms

Levine, Marc

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p. 405-443

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On conformal deformation of nonpositive curvature on noncompact surfaces

Kalka, Morris ; Yang, DaGang

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p. 405-430

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On the nonvanishing of Rankin-Selberg $\mathrm{L}$ -functions

Luo, Wenzhi

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p. 411-425

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Qualitative properties of solutions to some nonlinear elliptic equations in $R^2$

Chen, Wenxiong ; Li, Congming

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p. 427-439

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Determination of blow-up solutions with minimal mass for nonlinear Schrödinger equations with critical power

Merle, F.

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p. 427-454

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Square root formulas for central values of Hecke $L$ -series II

Villegas, Fernando Rodriguez

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p. 431-440

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Iwasawa theory of elliptic curves and Galois module structure

Agboola, A.

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p. 441-462

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Evolving plane curves by curvature in relative geometries

Gage, Michael E.

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p. 441-466

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Extremal problems involving logarithmic and Green capacity

Laugesen, Richard

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p. 445-480

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Global crystal bases of quantum groups

Kashiwara, Masaki

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p. 455-485

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Density theorems for congruence groups in real rank $1$

Huntley, Jonathan ; Katznelson, Yonatan R.

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p. 463-473

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The dissection of rectangles, cylinders, tori, and Möbius bands into squares

Chapman, S. J.

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p. 467-485

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Effective bound for the geometric Lang conjecture

Buium, Alexandru

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p. 475-499

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Geometric construction of polylogarithms

Hanamura, Masaki ; MacPherson, Robert

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p. 481-516

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A critical growth rate for the pluricomplex Green function

Momm, Siegfried

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p. 487-502

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Some geometric aspects of graphs and their eigenfunctions

Friedman, Joel

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p. 487-525

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On the Fourier coefficients of Hilbert modular forms of half-integral weight

Shimura, Goro

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p. 501-557

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A sharp counterexample to the local existence of low-regularity solutions to nonlinear wave equations

Lindblad, Hans

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p. 503-539

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On the relation between Cantor’s capacity and the sectional capacity

Rumely, Robert

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p. 517-574

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Two two-dimensional terminations

Alexeev, Valery

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p. 527-545

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On higher-order differentials of the period map

Karpishpan, Yakov

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p. 541-571

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Characters, dual pairs, and unitary representations

Przebinda, Tomasz

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p. 547-592

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Ergodic properties of eigenfunctions for the Dirichlet problem

Gérard, Patrick ; Leichtnam, Eric

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p. 559-607

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Symplectic embedding trees for generalized camel spaces

Traynor, Lisa

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p. 573-594

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On the positive solutions of the Matukuma equation

Li, Yi

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p. 575-589

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Quantum Knizhnik-Zamolodchikov equations and holomorphic vector bundles

Etingof, Pavel I.

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p. 591-615

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Jorgensen’s inequality for discrete groups in normed algebras

Friedland, Shmuel ; Hersonsky, Sa’ar

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p. 593-614

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Analytic hypoellipticity, representations of nilpotent groups, and a nonlinear eigenvalue problem

Christ, Michael

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p. 595-639

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Topological invariance of the solvability of complex-valued vector fields in the plane

Meziani, Abdelhamid

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p. 609-628

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Constructing free actions on $\mathbf{R}$ -trees

Levitt, Gilbert

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p. 615-633

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An inverse boundary value problem in electrodynamics

Ola, Petri ; Päivärinta, Lassi ; Somersalo, Erkki

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p. 617-653

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The limit of Lagrangian surfaces in $R^4$

Lee, Yng-Ing

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p. 629-631

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Arrangements of hyperplanes and vector bundles on $P^n$

Dolgachev, I. ; Kapranov, M.

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p. 633-664

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Local existence and stability of multivalued solutions to determined analytic first-order systems on the plane

Kossowski, Marek

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p. 635-661

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Periodicity of the fixed locus of multiples of a divisor on a surface

Cutkosky, S. D. ; Srinivas, V.

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p. 641-647

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Metrics with nonnegative isotropic curvature

Micallef, Mario J. ; Wang, McKenzie Y.

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p. 649-672

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Distribution of the error term in the Weyl asymptotics for the Laplace operator on a two-dimensional torus and related lattice problems

Bleher, Pavel M.

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p. 655-682

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Ample and spanned vector bundles with large $c^2_1$ relative to $c_2$ on surfaces

Noma, Atsushi

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p. 663-669

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Sums of squares over function fields

Merrill, Kathy D. ; Walling, Lynne H.

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p. 665-684

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On the radial variation of bounded analytic functions on the disc

Bourgain, J.

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p. 671-682

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On the Selberg class of Dirichlet series: small degrees

Conrey, J. B. ; Ghosh, A.

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p. 673-693

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$L^2$ flow of curve straightening in the plane

Wen, Yingzhong

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p. 683-698

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Periodic solutions to some $N$ -body type problems: the fixed energy case

Majer, Pietro ; Terracini, Susanna

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p. 683-697

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Degenerate Fourier integral operators in the plane

Seeger, Andreas

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p. 685-745

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Certain Dirichlet series attached to automorphic forms over imaginary quadratic fields

Zhao, Yude

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p. 695-724

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Abelian quotients of subgroups of the mapping class group of surfaces

Morita, Shigeyuki

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p. 699-726

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Sequences of metrics on compact Riemann surfaces

Rhodes, John A.

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p. 725-738

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A note on nonvanishing and applications

Andreatta, M. ; Wiśniewski, J. A.

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p. 739-755

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Cohomology of crystalline representations

Nizioł, Wiesława

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p. 747-791

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On the cohomology of Kottwitz’s arithmetic varieties

Clozel, Laurent

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p. 757-795

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Integer points, Diophantine approximation, and iteration of rational maps

Silverman, Joseph H.

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p. 793-829

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Automorphisms and the Kähler cone of certain Calabi-Yau manifolds

Grassi, Antonella ; Morrison, David R.

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p. 831-838

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The crystal base and Littelmann’s refined Demazure character formula

Kashiwara, Masaki

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p. 839-858

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Global $2$ -forms on regular $3$ -folds of general type

Luo, Tie

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p. 859-869

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Unitary nilpotent groups and the stability of pseudoisotopies

Kwasik, Sławomir ; Schultz, Reinhard

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p. 871-887

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Bounded linear operators between $C^\ast$ -algebras

Haagerup, Uffe ; Pisier, Gilles

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p. 889-925

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