Poles of Igusa's local zeta function and monodromy

Willem Veys

Bulletin de la Société Mathématique de France (1993)

  • Volume: 121, Issue: 4, page 545-598
  • ISSN: 0037-9484

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Veys, Willem. "Poles of Igusa's local zeta function and monodromy." Bulletin de la Société Mathématique de France 121.4 (1993): 545-598. <http://eudml.org/doc/87677>.

@article{Veys1993,
author = {Veys, Willem},
journal = {Bulletin de la Société Mathématique de France},
keywords = {-adic field; Igusa's zeta function; monodromy},
language = {eng},
number = {4},
pages = {545-598},
publisher = {Société mathématique de France},
title = {Poles of Igusa's local zeta function and monodromy},
url = {http://eudml.org/doc/87677},
volume = {121},
year = {1993},
}

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
PB - Société mathématique de France
VL - 121
IS - 4
SP - 545
EP - 598
LA - eng
KW - -adic field; Igusa's zeta function; monodromy
UR - http://eudml.org/doc/87677
ER -

References

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  3. [D2] DENEF (J.). — Local Zeta Functions and Euler Characteristics, Duke Math. J., t. 63,3, 1991, p. 713-721. Zbl0738.11060MR93a:11100
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  5. [Ha] HARTSHORNE (R.). — Algebraic Geometry. — Springer Verlag, 1977. Zbl0367.14001MR57 #3116
  6. [Hi] HIRONAKA (H.). — Resolution of singularities of an algebraic variety over a field of characteristic zero, Ann. Math., t. 79, 1964, p. 109-326. Zbl0122.38603MR33 #7333
  7. [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. Zbl0315.41029
  8. [Ig2] IGUSA (J.). — Lectures on Forms of Higher degree. — Narosa Publ. House, New Delhi, 1978. MR80m:10020
  9. [Ig3] IGUSA (J.). — Complex powers of irreducible algebroid curves, in Geometry today, Roma 1984, Progress in Mathematics 60, Birkhaüser 1985, p. 207-230. Zbl0605.14029MR88j:11084
  10. [L1] LOESER (F.). — Fonctions d'Igusa p-adiques et polynômes de Bernstein, Amer. J. Math., t. 110, 1988, p. 1-21. Zbl0644.12007MR89d:11110
  11. [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. Zbl0718.11061MR90m:11194
  12. [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. Zbl0713.11083MR92c:11139
  13. [Ma1] MALGRANGE (B.). — Intégrales asymptotiques et monodromie, Ann. Sci. École Norm. Sup., t. 4, 7, 1974, p. 405-430. Zbl0305.32008MR51 #8459
  14. [Ma2] MALGRANGE (B.). — Polynômes de Bernstein-Sato et cohomologie évanescente, Astérisque, t. 101/102, 1983, p. 243-267. Zbl0528.32007MR86f:58148
  15. [Me1] MEUSER (D.). — On the poles of a local zeta function for curves, Invent. Math., t. 73, 1983, p. 445-465. Zbl0503.14009MR85i:14014
  16. [Me2] MEUSER (D.). — The meromorphic continuation of a zeta function of Weil and Igusa type, Invent. Math., t. 85, 1986, p. 493-514. Zbl0571.12009MR87k:11096
  17. [Mi] MILNOR (J.). — Singular points of complex hypersurfaces. — Princeton Univ. Press, 1968. Zbl0184.48405MR39 #969
  18. [S] STRAUSS (L.). — Poles of a two variable p-adic complex power, Trans. Amer. Math. Soc., t. 278, 2, 1983, p. 481-493. Zbl0524.14024MR84k:14019
  19. [Si] SIERSMA (D.). — Variation mappings on singularities with a 1-dimensional critical locus, Topology, t. 30, 3, 1991, p. 445-469. Zbl0746.32014MR92e:32022
  20. [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. Zbl0659.14016MR92j:11142
  21. [V2] VEYS (W.). — Relations between numerical data of an embedded resolution, Amer. J. Math., t. 113, 1991, p. 573-592. Zbl0742.14009MR92g:14011
  22. [V3] VEYS (W.). — Congruences for numerical data of an embedded resolution, Compositio Math., t. 80, 1991, p. 151-169. Zbl0764.14008MR93d:14027

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