@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}, publisher = {Soci\'et\'e math\'ematique de France}, volume = {121}, number = {4}, year = {1993}, doi = {10.24033/bsmf.2219}, mrnumber = {95b:11110}, zbl = {0812.14014}, language = {en}, url = {http://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 - http://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 http://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. http://www.numdam.org/articles/10.24033/bsmf.2219/
[A] La fonction zeta d'une monodromie, Comment. Math. Helv., t. 50, 1975, p. 233-248. | MR | Zbl
. -[D1] On the degree of Igusa's local zeta function, Amer. J. Math., t. 109, 1987, p. 991-1008. | MR | Zbl
. -[D2] Local Zeta Functions and Euler Characteristics, Duke Math. J., t. 63,3, 1991, p. 713-721. | MR | Zbl
. -[EH] Divisors on general curves and cuspidal rational curves, Invent. Math., t. 74, 1983, p. 371-418. | MR | Zbl
and . -[Ha] Algebraic Geometry. - Springer Verlag, 1977. | MR | Zbl
. -[Hi] Resolution of singularities of an algebraic variety over a field of characteristic zero, Ann. Math., t. 79, 1964, p. 109-326. | MR | Zbl
. -[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. | MR | Zbl
. -[L1] Fonctions d'Igusa p-adiques et polynômes de Bernstein, Amer. J. Math., t. 110, 1988, p. 1-21. | MR | Zbl
. -[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. | Numdam | MR | Zbl
. -[L3] Fonctions d'Igusa p-adiques, polynômes de Bernstein et polyèdres de Newton, J. Reine Angew. Math., t. 412, 1990, p. 75-96. | MR | Zbl
. -[Ma1] Intégrales asymptotiques et monodromie, Ann. Sci. École Norm. Sup., t. 4, 7, 1974, p. 405-430. | Numdam | MR | Zbl
. -[Ma2] Polynômes de Bernstein-Sato et cohomologie évanescente, Astérisque, t. 101/102, 1983, p. 243-267. | Numdam | MR | Zbl
. -[Me1] On the poles of a local zeta function for curves, Invent. Math., t. 73, 1983, p. 445-465. | MR | Zbl
. -[Me2] The meromorphic continuation of a zeta function of Weil and Igusa type, Invent. Math., t. 85, 1986, p. 493-514. | MR | Zbl
. -[Mi] Singular points of complex hypersurfaces. - Princeton Univ. Press, 1968. | MR | Zbl
. -[S] Poles of a two variable p-adic complex power, Trans. Amer. Math. Soc., t. 278, 2, 1983, p. 481-493. | MR | Zbl
. -[Si] Variation mappings on singularities with a 1-dimensional critical locus, Topology, t. 30, 3, 1991, p. 445-469. | MR | Zbl
. -[V1] On the poles of Igusa's local zeta function for curves, J. London Math. Soc., t. 41, 2, 1990, p. 27-32. | MR | Zbl
. -[V2] Relations between numerical data of an embedded resolution, Amer. J. Math., t. 113, 1991, p. 573-592. | MR | Zbl
. -[V3] Congruences for numerical data of an embedded resolution, Compositio Math., t. 80, 1991, p. 151-169. | Numdam | MR | Zbl
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