@article{PMIHES_1998__88__5_0, author = {Kapovich, Michael and Millson, John J.}, title = {On representation varieties of Artin groups, projective arrangements and the fundamental groups of smooth complex algebraic varieties}, journal = {Publications Math\'ematiques de l'IH\'ES}, volume = {S88}, year = {1998}, pages = {5-95}, mrnumber = {2001d:14024}, zbl = {0982.20023}, language = {en}, url = {http://dml.mathdoc.fr/item/PMIHES_1998__88__5_0} }
Kapovich, Michael; Millson, John J. On representation varieties of Artin groups, projective arrangements and the fundamental groups of smooth complex algebraic varieties. Publications Mathématiques de l'IHÉS, Tome S88 (1998) pp. 5-95. http://gdmltest.u-ga.fr/item/PMIHES_1998__88__5_0/
[AK] Topology of Real Algebraic Sets, MSRI Publications, 25 (1992), Springer-Verlag. | MR 94m:57001 | Zbl 0808.14045
, ,[ABC] Fundamental groups of Kähler manifolds, AMS Mathematical Surveys and Monographs, 44, 1996. | MR 97d:32037 | Zbl 0849.32006
, , , , ,[AN] Solvable fundamental groups of algebraic varieties and Kähler manifolds, Preprint, June 1997. | Zbl 0971.14020
, ,[A1] Normal forms of functions in neighborhoods of degenerate critical points, In: Lecture Notes of London Math. Soc., 53 (1981), Singularity Theory, 91-131. | MR 83d:58016
,[A2] Critical points of smooth functions and their normal forms, In: Lecture Notes of London Math. Soc., 53 (1981), Singularity Theory, 132-206. | MR 83d:58016
,[Ar] On the solutions of analytic equations, Invent. Math., 5 (1968), 277-291. | MR 38 #344 | Zbl 0172.05301
,[AM] Introduction to Commutative Algebra, Addison-Wesley, 1969. | MR 39 #4129 | Zbl 0175.03601
, ,[BiM] Canonical desingularization in characteristic zero by blowing up maximal strata of a local invariant, Inventiones Math., 128 (1997), 207-320. | Zbl 0896.14006
, ,[Bo] Groupes et algèbres de Lie, Chap. 4 à 6, Masson, 1981. | Zbl 0483.22001
,[BuM] CR-geometry and deformations of isolated singularities, Memoirs of AMS, 125, N 597 (1997). | MR 97g:32045 | Zbl 0871.32023
, ,[B] Die Fundamentalgruppe des Raumes der regulären Orbits einer endlichen komplexen Spiegelungsgruppe, Inventiones Math., 12 (1971), 57-61. | MR 45 #2692 | Zbl 0204.56502
,[BS] Artin-Gruppen und Coxeter-Gruppen, Inventiones Math., 17 (1972), 245-271. | MR 48 #2263 | Zbl 0243.20037
, ,[C] Finite unitary groups generated by reflections, Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 31 (1967), 125-135. | MR 37 #6358 | Zbl 0189.32302
,[D1] Théorie de Hodge II, Publications Math. IHES, 40 (1971), 5-58. | Numdam | MR 58 #16653a | Zbl 0219.14007
,[D2] Théorie de Hodge III, Publications Math. IHES, 44 (1974), 5-77. | Numdam | MR 58 #16653b | Zbl 0237.14003
,[DGMS] Real homotopy theory of Kähler manifolds, Inventiones Math., 29 (1975), 245-274. | Zbl 0312.55011
, , , ,[DG] Groupes algébriques: Vol. I. Géométrie algébrique, généralités, groupes commutatifs, Paris, Masson, 1970. | Zbl 0203.23401
, ,[Di] Topics on Real and Complex Singularities, Advanced Lectures in Mathematics, Vieweg, 1987. | MR 92d:32048 | Zbl 0628.14001
,[EH] Schemes: the language of the modern algebraic geometry, Wadsworth & Brooks/Cole Math. Series, 1992. | Zbl 0745.14002
, ,[EN] Three-dimensional link theory and invariants of plane curve singularities, Ann. of Math. Stud., Princeton Univ. Press, 110 (1985). | MR 87g:57007 | Zbl 0628.57002
, ,[GM] The deformation theory of representations of fundamental groups of compact Kähler manifolds, Publications Math. IHES, 67 (1988), 43-96. | Numdam | MR 90b:32041 | Zbl 0678.53059
, ,[GrM] Rational homotopy theory and differential forms, Progress in Mathematics, Birkhäuser, 1981. | MR 82m:55014 | Zbl 0474.55001
, ,[Hai]
, in preparation.[H] Foundations of Projective Geometry, Benjamin Inc., NY, 1967. | MR 36 #5801 | Zbl 0152.38702
,[JM] Deformation spaces associated to compact hyperbolic manifolds, In: Discrete Groups in Geometry and Analysis, Papers in honor of G. D. Mostow on his 60-th birthday, R. Howe (ed.), Progress in Mathematics, 67 (1987), Birkhäuser, 48-106. | MR 88j:22010 | Zbl 0664.53023
, ,[KM1] The relative deformation theory of representations and flat connections and deformations of linkages in constant curvature spaces, Compositio Math., 103 (1996), 287-317. | Numdam | MR 97i:58184 | Zbl 0872.53035
, ,[KM2] On the deformation theory of representations of fundamental groups of closed hyperbolic 3-manifolds, Topology, 35 (1996), 1085-1106. | MR 97h:57029 | Zbl 0855.32013
, ,[KM3] Hodge theory and the art of paper folding, Publications of RIMS, Kyoto, 33 (1997), 1-33. | MR 98a:58028 | Zbl 0961.32026
, ,[KM4] Moduli Spaces of Linkages and Arrangements, In: Advances in Geometry, J.-L. Brylinski (ed.), Progress in Mathematics, 172 (1999), Birkhäuser, 237-270. | MR 2000g:14019 | Zbl 0936.14010
, ,[KM5] Universality theorems for configuration spaces of planar linkages, Preprint, 1998.
, ,[Ke] On a general method of describing plane curves of the n-th degree by linkwork, Proc. London Math. Soc., 7 (1875), 213-216. | JFM 08.0544.04
,[Le] Extended Artin groups, Proc. of Symp. in Pure Math., 40 (1983), Part 2, p. 117-121. | MR 85b:14005 | Zbl 0523.14005
,[Lo] Invariant theory for generalized root systems, Inventiones Math., 61 (1980), 1-32. | MR 82f:17011 | Zbl 0436.17005
,[LM] Varieties of representations for finitely generated groups, Memoirs of AMS, 336 (1985), N 5. | MR 87c:20021 | Zbl 0598.14042
, ,[Mi] Rational homotopy theory and deformation problems from algebraic geometry, Proc. of ICM 1990, I, p. 549-558. | MR 93b:14008a | Zbl 0761.32011
,[Mn] The universality theorems on the classification problem of configuration varieties and convex polytopes varieties, Lecture Notes in Math., 1346 (1988), 527-543. | MR 90a:52013 | Zbl 0667.52006
,[Mo1] Hodge theory for the algebraic topology of smooth algebraic varieties, Proc. Symp. in Pure Math., 32 (1978), 119-127. | MR 80g:32013 | Zbl 0417.14005
,[Mo2] The algebraic topology of smooth algebraic varieties, Publications Math. IHES, 48 (1978), 137-204. | Numdam | MR 80e:55020 | Zbl 0401.14003
,[N] Introduction to Moduli Problems and Orbit Spaces, Tata Institute Lecture Notes, 1978. | MR 81k:14002 | Zbl 0411.14003
,[Sh] Regular complex polytopes, Proc. London Math. Soc., 2 (1952), 82-97. | MR 13,968k | Zbl 0047.14106
,[Si] Higgs bundles and local systems, Publications Math. IHES, 75 (1992), 5-95. | Numdam | MR 94d:32027 | Zbl 0814.32003
,[St] Beiträge zur Geometre der Lage, Heft 2, 1857.
,[Su1] Infinitesimal computations in topology, Publications Math. IHES, 47 (1977), 269-331. | Numdam | MR 58 #31119 | Zbl 0374.57002
,[Sum] Equivariant completion, J. Math. Kyoto Univ., 14 (1974), 1-28; 15 (1975), 573-605. | Zbl 0277.14008
,