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Caractéristiques d'Euler-Poincaré, fonctions zêta locales et modifications analytiques


Authors: J. Denef and F. Loeser
Journal: J. Amer. Math. Soc. 5 (1992), 705-720
MSC: Primary 11S40; Secondary 11M41, 14E15, 32S45
DOI: https://doi.org/10.1090/S0894-0347-1992-1151541-7
MathSciNet review: 1151541
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  • [An] V. Ancona, Espaces de Moišezon relatifs et algébrisation des modifications analytiques, Math. Ann. 246 (1980), 155-165. MR 564685 (81g:32022)
  • [A] M. Artin, Algebraic approximation of structures over complete local rings, Inst. Hautes Études Sci. Publ. Math., no. 36 (1969), 23-58. MR 0268188 (42:3087)
  • [B-B-D] A. A. Beilinson, J. Bernstein, et P. Deligne, Faisceaux pervers, Astérisque, no. 100, Soc. Math. France, Paris, 1982, pp. 3-172. MR 751966 (86g:32015)
  • [D1] J. Denef, On the degree of Igusa's local zeta function, Amer. J. Math. 109 (1987), 991-1008. MR 919001 (89d:11108)
  • [D2] -, Local zeta functions and Euler characteristics, Duke Math. J. 63 (1991), 713-721. MR 1121152 (93a:11100)
  • [II] L. Illusie, Théorie de Brauer et caractéristique d'Euler-Poincaré (d'après P. Deligne), Astérisque, nos. 82-83, Soc. Math. France, Paris, 1981, pp. 161-172. MR 629127 (83m:14014)
  • [L1] F. Loeser, Fonctions d'Igusa $ p$-adiques et polynômes de Bernstein, Amer. J. Math. 110 (1988), 1-22. MR 926736 (89d:11110)
  • [L2] -, Fonctions d'Igusa $ p$-adiques, polynômes de Bernstein et polyèdres de Newton, J. Reine Angew. Math. 412 (1990), 75-96. MR 1079002 (92c:11139)
  • [M] B. Malgrange, Polynômes de Bernstein-Sato et cohomologie évanescente, Astérisque, nos. 101-102, Soc. Math. France, Paris, 1983, pp. 243-267. MR 737934 (86f:58148)
  • [Ma] H. Matsumura, Commutative algebra, Benjamin, New York, 1970. MR 0266911 (42:1813)
  • [V] A. N. Varchenko, Zeta-function of monodromy and Newton's diagram, Invent. Math. 37 (1976), 253-262. MR 0424806 (54:12764)
  • [Ve] W. Veys, Poles of Igusa's local zeta function and monodromy, a paraître.
  • [W] V. Weispfenning, Quantifier elimination and decision procedures for valued fields. Models and Sets, Lecture Notes in Math., vol. 1103, Springer, Berlin-New York, 1984, pp. 419-472. MR 775704 (86m:03059)
  • [Z-S] O. Zariski et P. Samuel, Commutative algebra II, Van Nostrand, Princeton, 1960. MR 0120249 (22:11006)
  • [EGA IV] A. Grothendieck (avec la collaboration de J. Dieudonné), Éléments de géométrie algébrique, Etude locale des schémas et des morphismes de schémas, Inst. Hautes Études Sci. Publ. Math., no. 20 (1964), no. 24 (1965), no. 28 (1966), no. 32 (1967). MR 0219539 (36:2619b)
  • [SGA4] P. Deligne, Cohomologie étale, Lecture Notes in Math., vol. 589, Springer, Berlin-New York, 1977. MR 0463174 (57:3132)

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Additional Information

DOI: https://doi.org/10.1090/S0894-0347-1992-1151541-7
Article copyright: © Copyright 1992 American Mathematical Society

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