Degree of local zeta functions and monodromy

J. Denef

Compositio Mathematica (1993)

  • Volume: 89, Issue: 2, page 207-216
  • ISSN: 0010-437X

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Denef, J.. "Degree of local zeta functions and monodromy." Compositio Mathematica 89.2 (1993): 207-216. <http://eudml.org/doc/90257>.

@article{Denef1993,
author = {Denef, J.},
journal = {Compositio Mathematica},
keywords = {holomorphy conjecture; Igusa's local zeta function; Schwartz-Bruhat function; local monodromy},
language = {eng},
number = {2},
pages = {207-216},
publisher = {Kluwer Academic Publishers},
title = {Degree of local zeta functions and monodromy},
url = {http://eudml.org/doc/90257},
volume = {89},
year = {1993},
}

TY - JOUR
AU - Denef, J.
TI - Degree of local zeta functions and monodromy
JO - Compositio Mathematica
PY - 1993
PB - Kluwer Academic Publishers
VL - 89
IS - 2
SP - 207
EP - 216
LA - eng
KW - holomorphy conjecture; Igusa's local zeta function; Schwartz-Bruhat function; local monodromy
UR - http://eudml.org/doc/90257
ER -

References

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  1. [A] N A'Campo: La fonction zêta d'une monodromie, Comment. Math. Helv.50 (1975) 233-248. Zbl0333.14008MR371889
  2. [B] J.-L. Brylinski: (Co)-Homologie d'Intersection et Faisceaux Pervers, Séminaire Bourbaki, nr. 585 (1981/82), Astérisque 92-93 (1982). Zbl0574.14017MR689529
  3. [D1] J. Denef: On the degree of Igusa's local zeta function, Amer. Journ. Math.109 (1987) 991-1008. Zbl0659.14017MR919001
  4. [D2] J. Denef: Local zeta functions and Euler characteristics, Duke Math. Journ.63 (1991) 713-721. Zbl0738.11060MR1121152
  5. [D3] J. Denef, Report on Igusa's local zeta function, Séminaire Bourbaki, nr. 741 (1990/91), Astérisque 201/202/203 (1991), 359-386. Zbl0749.11054MR1157848
  6. [DL] J. Denef et F. Loeser: Caractéristiques d'Euler-Poincaré, Fonctions zêta locales et Modifications analytiques, J. Amer. Math. Soc.5 (1992) 705-720. Zbl0777.32017MR1151541
  7. [I1] J. Igusa: Lectures on forms of higher degree, Tata Inst. Fund. Research, Bombay (1978). Zbl0417.10015MR546292
  8. [I2] J. Igusa: Some results on p-adic complex powers, Am. J. Math.106 (1984) 1013-1032. Zbl0589.14023MR761577
  9. [K] N. Katz: Sommes exponentielles, Astérisque79 (1980). Zbl0469.12007MR617009
  10. [SGA 4 1/2] P. Deligne: Cohomologie étale, Lecture Notes in Math. 569, Springer, Berlin, 1977 Zbl0345.00010MR463174
  11. [SGA 7] A. Grothendieck, P. Deligne et N. Katz: Groupes de monodromie en géométrie algébrique, Vol. I, II, Lecture Notes in Math. 288, 340, Springer, Berlin, 1972, 1973. Zbl0258.00005
  12. [V1] W. Veys: Poles of Igusa's local zeta function and monodromy, Bull. Soc. Math. France (to appear). Zbl0812.14014MR1254752
  13. [V2] W. Veys: Holomorphy of local zeta functions for curves, Math. Ann.295 (1993) 635-641. Zbl0786.11068MR1214952

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