Degree of local zeta functions and monodromy

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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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