On the zeta function of monodromy of a polynomial map
Libgober, A. ; Sperber, S.
Compositio Mathematica, Tome 99 (1995), p. 287-307 / Harvested from Numdam
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Publié le : 1995-01-01
@article{CM_1995__95_3_287_0,
     author = {Libgober, A. and Sperber, Steven},
     title = {On the zeta function of monodromy of a polynomial map},
     journal = {Compositio Mathematica},
     volume = {99},
     year = {1995},
     pages = {287-307},
     mrnumber = {1318089},
     zbl = {0968.14006},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CM_1995__95_3_287_0}
}

Libgober, A.; Sperber, S. On the zeta function of monodromy of a polynomial map. Compositio Mathematica, Tome 99 (1995) pp. 287-307. http://gdmltest.u-ga.fr/item/CM_1995__95_3_287_0/

[AC] N A'Campo, La fonction zeta d'une monodromie, Comm. Math. Helv. 50 (1975) 233-248. | MR 371889 | Zbl 0333.14008

[AS] A. Adolphson and S. Sperber, Exponential sums and Newton polyhedra, Ann. of Math. 130 (1989) 367-402. | MR 1014928 | Zbl 0723.14017

[A] M. Atiyah, Angular momentum, convex polyhedra and algebraic geometry, Bull. London Math. Soc. 26 (1983) 121-138. | MR 705256 | Zbl 0521.58026

[BKH] D. Bernstein, A. Kushnirenko and A. Hovanski, Newton polyhedra, Uspekhi Math. Nauk 31(3) (1976) 201-202. | MR 492376 | Zbl 0354.14001

[D] V. Danilov, The geometry of toric varieties, Russian Math. Surveys 33 (1978) 85-134. | MR 495499 | Zbl 0425.14013

[DL] J. Denef and F. Loeser, Weights of exponential sums, intersection cohomology, and Newton polyhedra, Inv. Math. 106 (1991) 275-294. | MR 1128216 | Zbl 0763.14025

[E] E. Ehrhart, Sur les problem des geometrie diophantienne linear, Crelle J. (1977) A91-A94.

[K] A. Kushnirenko, Polyedres des Newton et Nombres des Milnor, Inv. Math. 32 (1976) 1-31. | MR 419433 | Zbl 0328.32007

[O] T. Oda, Convex Bodies and Algebraic Geometry, Ergebnisse der Mathematik und ihre Grenzgebiete, 3 Folge. Band 15, Springer-Verlag, 1985. | MR 922894 | Zbl 0628.52002

[SGA2] Séminaire de geométrie algebrique.

[Wa] D. Wan, Newton polygons of zeta functions and L-functions, Ann. of Math. 137 (1993) 249-293. | MR 1207208 | Zbl 0799.11058

[We] A. Weil, Numbers of solutions of equations over finite fields, Bull. AMS 55 (1949) 497-508. | MR 29393 | Zbl 0032.39402

[V] A. Varchenko, Zeta function of the monodromy and Newton's diagram, Inv. Math. 37 (1976) 253-262. | MR 424806 | Zbl 0333.14007