@article{ASENS_2007_4_40_2_309_0, author = {Favre, Charles and Jonsson, Mattias}, title = {Eigenvaluations}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, volume = {40}, year = {2007}, pages = {309-349}, doi = {10.1016/j.ansens.2007.01.002}, mrnumber = {2339287}, zbl = {1135.37018}, language = {en}, url = {http://dml.mathdoc.fr/item/ASENS_2007_4_40_2_309_0} }
Favre, Charles; Jonsson, Mattias. Eigenvaluations. Annales scientifiques de l'École Normale Supérieure, Tome 40 (2007) pp. 309-349. doi : 10.1016/j.ansens.2007.01.002. http://gdmltest.u-ga.fr/item/ASENS_2007_4_40_2_309_0/
[1] Newton-Puiseux expansion and generalized Tschirnhausen transformation. I, J. reine angew. Math. 260 (1973) 47-83, Newton-Puiseux expansion and generalized Tschirnhausen transformation. II, J. reine angew. Math. 261 (1973) 29-53. | Zbl 0272.12102
, ,[2] Dynamics of regular polynomial endomorphisms of , Amer. J. Math. 122 (2000) 153-212. | MR 1737260 | Zbl 0941.37027
, ,[3] Cones of curves and of line bundles on surfaces associated with curves having one place at infinity, Proc. London Math. Soc. (3) 84 (3) (2002) 559-580. | MR 1888423 | Zbl 1074.14505
, , ,[4] Complex Dynamics, Universitext: Tracts in Mathematics, Springer-Verlag, New York, 1993. | MR 1230383 | Zbl 0782.30022
, ,[5] Monomialization of Morphisms from 3-Folds to Surfaces, Lecture Notes in Mathematics, vol. 1786, Springer-Verlag, Berlin, 2002. | MR 1927974 | Zbl 1057.14009
,[6] Complex analytic and algebraic geometry, Book available at the website, http://www-fourier.ujf-grenoble.fr/~demailly/books.html.
,[7] Dynamics of bimeromorphic maps of surfaces, Amer. J. Math. 123 (2001) 1135-1169. | MR 1867314 | Zbl 1112.37308
, ,[8] On the dynamics near infinity of some polynomial mappings of , Math. Ann. 333 (4) (2005) 703-739. | MR 2195140 | Zbl 1079.37040
, , ,[9] Classification of 2-dimensional contracting rigid germs and Kato surfaces. I, J. Math. Pures Appl. (9) 79 (5) (2000) 475-514. | MR 1759437 | Zbl 0983.32023
,[10] Dynamique des applications rationnelles des espaces multiprojectifs, Indiana Univ. Math. J. 50 (2) (2001) 881-934. | MR 1871393 | Zbl 1046.37026
, ,[11] Brolin's theorem for curves in two complex dimensions, Ann. Inst. Fourier 53 (2003) 1461-1501. | Numdam | MR 2032940 | Zbl 1113.32005
, ,[12] The Valuative Tree, Lecture Notes in Mathematics, vol. 1853, Springer-Verlag, Berlin, 2004. | MR 2097722 | Zbl 1064.14024
, ,[13] Valuative analysis of planar plurisubharmonic functions, Invent. Math. 162 (2) (2005) 271-311. | MR 2199007 | Zbl 1089.32032
, ,[14] Valuations and multiplier ideals, J. Amer. Math. Soc. 18 (2005) 655-684. | MR 2138140 | Zbl 1075.14001
, ,[15] Construction of affine plane curves with one place at infinity, Osaka J. Math. 39 (2002) 1005-1027. | MR 1951527 | Zbl 1053.14069
, ,[16] Principles of Algebraic Geometry, Wiley Classics Library, John Wiley & Sons Inc., New York, 1994. | MR 1288523 | Zbl 0836.14001
, ,[17] Superattractive fixed points in , Indiana Univ. Math. J. 43 (1) (1994) 321-365. | MR 1275463 | Zbl 0858.32023
, ,[18] Hubbard J.H., Papadopol P., Newton's method applied to two quadratic equations in viewed as a global dynamical system, Mem. Amer. Math. Soc., in press. | Zbl 1133.37018
[19] A construction for prime ideals as absolute values of an algebraic field, Duke Math. J. 2 (1936) 363-395. | JFM 62.1106.02 | JFM 62.0096.02 | MR 1545943
,[20] On analytic irreducibility at ∞ of a pencil of curves, Proc. Amer. Math. Soc. 44 (1974) 22-24. | Zbl 0309.14011
,[21] Fundamental Number Theory with Applications, CRC Press Series on Discrete Mathematics and its Applications, Chapman & Hall/CRC, Boca Raton, FL, 1997. | MR 2404578 | Zbl 0943.11001
,[22] Valuations, trees, and degenerations of hyperbolic structures, I, Ann. Math. 120 (1984) 401-476. | MR 769158 | Zbl 0583.57005
, ,[23] Algebraic degrees for iterates of meromorphic self-maps of , Publ. Mat. 50 (2006) 457-473. | MR 2273670 | Zbl 1112.37035
,[24] Actions de groupes sur les arbres, Astérisque 241 (1997), Exp. No. 808, 3, 97-137. | Numdam | Zbl 0984.20015
,[25] Espace hyperbolique p-adique et dynamique des fonctions rationnelles, Compositio Math. 138 (2) (2003) 199-231. | MR 2018827 | Zbl 1041.37021
,[26] Sur la structure des ensembles de Fatou p-adiques, Preprint available at, http://www.math.sunysb.edu/~rivera.
,[27] Value distribution for sequences of rational mappings and complex dynamics, Indiana Univ. Math. J. 46 (3) (1997) 897-932. | MR 1488341 | Zbl 0901.58023
, ,[28] Global Stability of Dynamical Systems, Springer-Verlag, New York-Heidelberg-Berlin, 1987. | Zbl 0606.58003
,[29] Dynamique des applications rationnelles de , Panor. Synthèses 8 (1999) 97-185. | MR 1760844 | Zbl 1020.37026
,[30] Propriétés topologiques des polynômes de deux variables complexes, et automorphismes algébriques de l’espace , J. Math. Soc. Japan 26 (1974) 241-257. | MR 338423 | Zbl 0276.14001
,[31] Dynamics semi-conjugated to a subshift for some polynomial mappings in , Publ. Mat. 51 (2007) 201-222. | MR 2307152 | Zbl 1125.37035
,[32] Commutative Algebra, vol. 2, Graduate Texts in Mathematics, vol. 29, Springer-Verlag, New York-Heidelberg-Berlin, 1975.
, ,