Poles of Igusa's local zeta function and monodromy
Bulletin de la Société Mathématique de France, Tome 121 (1993) no. 4, pp. 545-598. 
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     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/}
}
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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] A'Campo (N.). - La fonction zeta d'une monodromie, Comment. Math. Helv., t. 50, 1975, p. 233-248. | MR | Zbl

[D1] Denef (J.). - On the degree of Igusa's local zeta function, Amer. J. Math., t. 109, 1987, p. 991-1008. | MR | Zbl

[D2] Denef (J.). - Local Zeta Functions and Euler Characteristics, Duke Math. J., t. 63,3, 1991, p. 713-721. | MR | Zbl

[EH] Eisenbud (D.) and Harris (J.). - Divisors on general curves and cuspidal rational curves, Invent. Math., t. 74, 1983, p. 371-418. | MR | Zbl

[Ha] Hartshorne (R.). - Algebraic Geometry. - Springer Verlag, 1977. | MR | Zbl

[Hi] Hironaka (H.). - Resolution of singularities of an algebraic variety over a field of characteristic zero, Ann. Math., t. 79, 1964, p. 109-326. | MR | Zbl

[Ig1] Igusa (J.). - 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] Igusa (J.). - Lectures on Forms of Higher degree. - Narosa Publ. House, New Delhi, 1978. | MR

[Ig3] Igusa (J.). - Complex powers of irreducible algebroid curves, in Geometry today, Roma 1984, Progress in Mathematics 60, Birkhaüser 1985, p. 207-230. | MR | Zbl

[L1] Loeser (F.). - Fonctions d'Igusa p-adiques et polynômes de Bernstein, Amer. J. Math., t. 110, 1988, p. 1-21. | MR | Zbl

[L2] Loeser (F.). - 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] Loeser (F.). - 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] Malgrange (B.). - Intégrales asymptotiques et monodromie, Ann. Sci. École Norm. Sup., t. 4, 7, 1974, p. 405-430. | Numdam | MR | Zbl

[Ma2] Malgrange (B.). - Polynômes de Bernstein-Sato et cohomologie évanescente, Astérisque, t. 101/102, 1983, p. 243-267. | Numdam | MR | Zbl

[Me1] Meuser (D.). - On the poles of a local zeta function for curves, Invent. Math., t. 73, 1983, p. 445-465. | MR | Zbl

[Me2] Meuser (D.). - The meromorphic continuation of a zeta function of Weil and Igusa type, Invent. Math., t. 85, 1986, p. 493-514. | MR | Zbl

[Mi] Milnor (J.). - Singular points of complex hypersurfaces. - Princeton Univ. Press, 1968. | MR | Zbl

[S] Strauss (L.). - Poles of a two variable p-adic complex power, Trans. Amer. Math. Soc., t. 278, 2, 1983, p. 481-493. | MR | Zbl

[Si] Siersma (D.). - Variation mappings on singularities with a 1-dimensional critical locus, Topology, t. 30, 3, 1991, p. 445-469. | MR | Zbl

[V1] Veys (W.). - 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] Veys (W.). - Relations between numerical data of an embedded resolution, Amer. J. Math., t. 113, 1991, p. 573-592. | MR | Zbl

[V3] Veys (W.). - Congruences for numerical data of an embedded resolution, Compositio Math., t. 80, 1991, p. 151-169. | Numdam | MR | Zbl

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