@article{BSMF_1993__121_4_545_0,
author = {Veys, Willem},
title = {Poles of {Igusa's} local zeta function and monodromy},
journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
pages = {545--598},
year = {1993},
publisher = {Soci\'et\'e math\'ematique de France},
volume = {121},
number = {4},
doi = {10.24033/bsmf.2219},
mrnumber = {95b:11110},
zbl = {0812.14014},
language = {en},
url = {https://www.numdam.org/articles/10.24033/bsmf.2219/}
}
TY - JOUR AU - Veys, Willem TI - Poles of Igusa's local zeta function and monodromy JO - Bulletin de la Société Mathématique de France PY - 1993 SP - 545 EP - 598 VL - 121 IS - 4 PB - Société mathématique de France UR - https://www.numdam.org/articles/10.24033/bsmf.2219/ DO - 10.24033/bsmf.2219 LA - en ID - BSMF_1993__121_4_545_0 ER -
%0 Journal Article %A Veys, Willem %T Poles of Igusa's local zeta function and monodromy %J Bulletin de la Société Mathématique de France %D 1993 %P 545-598 %V 121 %N 4 %I Société mathématique de France %U https://www.numdam.org/articles/10.24033/bsmf.2219/ %R 10.24033/bsmf.2219 %G en %F BSMF_1993__121_4_545_0
Veys, Willem. Poles of Igusa's local zeta function and monodromy. Bulletin de la Société Mathématique de France, Tome 121 (1993) no. 4, pp. 545-598. doi: 10.24033/bsmf.2219
[A] . - La fonction zeta d'une monodromie, Comment. Math. Helv., t. 50, 1975, p. 233-248. | Zbl | MR
[D1] . - On the degree of Igusa's local zeta function, Amer. J. Math., t. 109, 1987, p. 991-1008. | Zbl | MR
[D2] . - Local Zeta Functions and Euler Characteristics, Duke Math. J., t. 63,3, 1991, p. 713-721. | Zbl | MR
[EH] and . - Divisors on general curves and cuspidal rational curves, Invent. Math., t. 74, 1983, p. 371-418. | Zbl | MR
[Ha] . - Algebraic Geometry. - Springer Verlag, 1977. | Zbl | MR
[Hi] . - Resolution of singularities of an algebraic variety over a field of characteristic zero, Ann. Math., t. 79, 1964, p. 109-326. | Zbl | MR
[Ig1] . - Complex powers and asymptotic expansions (I), J. Reine Angew. Math., t. 268/269, 1974, p. 110-130. (II) ibid., t. 278/279 1975, p. 307-321. | Zbl
[Ig2] . - Lectures on Forms of Higher degree. - Narosa Publ. House, New Delhi, 1978. | MR
[Ig3] . - Complex powers of irreducible algebroid curves, in Geometry today, Roma 1984, Progress in Mathematics 60, Birkhaüser 1985, p. 207-230. | Zbl | MR
[L1] . - Fonctions d'Igusa p-adiques et polynômes de Bernstein, Amer. J. Math., t. 110, 1988, p. 1-21. | Zbl | MR
[L2] . - Fonctions zêta locales d'Igusa à plusieurs variables, intégration dans les fibres et discriminants, Ann. Sci. École Norm. Sup., t. 4, 22, 1989, p. 435-471. | Zbl | MR | Numdam
[L3] . - Fonctions d'Igusa p-adiques, polynômes de Bernstein et polyèdres de Newton, J. Reine Angew. Math., t. 412, 1990, p. 75-96. | Zbl | MR
[Ma1] . - Intégrales asymptotiques et monodromie, Ann. Sci. École Norm. Sup., t. 4, 7, 1974, p. 405-430. | Zbl | MR | Numdam
[Ma2] . - Polynômes de Bernstein-Sato et cohomologie évanescente, Astérisque, t. 101/102, 1983, p. 243-267. | Zbl | MR | Numdam
[Me1] . - On the poles of a local zeta function for curves, Invent. Math., t. 73, 1983, p. 445-465. | Zbl | MR
[Me2] . - The meromorphic continuation of a zeta function of Weil and Igusa type, Invent. Math., t. 85, 1986, p. 493-514. | Zbl | MR
[Mi] . - Singular points of complex hypersurfaces. - Princeton Univ. Press, 1968. | Zbl | MR
[S] . - Poles of a two variable p-adic complex power, Trans. Amer. Math. Soc., t. 278, 2, 1983, p. 481-493. | Zbl | MR
[Si] . - Variation mappings on singularities with a 1-dimensional critical locus, Topology, t. 30, 3, 1991, p. 445-469. | Zbl | MR
[V1] . - On the poles of Igusa's local zeta function for curves, J. London Math. Soc., t. 41, 2, 1990, p. 27-32. | Zbl | MR
[V2] . - Relations between numerical data of an embedded resolution, Amer. J. Math., t. 113, 1991, p. 573-592. | Zbl | MR
[V3] . - Congruences for numerical data of an embedded resolution, Compositio Math., t. 80, 1991, p. 151-169. | Zbl | MR | Numdam
Cité par Sources :







