On the zeta function of monodromy of a polynomial map

A. Libgober; S. Sperber

Compositio Mathematica (1995)

  • Volume: 95, Issue: 3, page 287-307
  • ISSN: 0010-437X

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Libgober, A., and Sperber, S.. "On the zeta function of monodromy of a polynomial map." Compositio Mathematica 95.3 (1995): 287-307. <http://eudml.org/doc/90351>.

@article{Libgober1995,
author = {Libgober, A., Sperber, S.},
journal = {Compositio Mathematica},
keywords = {zeta function; monodromy},
language = {eng},
number = {3},
pages = {287-307},
publisher = {Kluwer Academic Publishers},
title = {On the zeta function of monodromy of a polynomial map},
url = {http://eudml.org/doc/90351},
volume = {95},
year = {1995},
}

TY - JOUR
AU - Libgober, A.
AU - Sperber, S.
TI - On the zeta function of monodromy of a polynomial map
JO - Compositio Mathematica
PY - 1995
PB - Kluwer Academic Publishers
VL - 95
IS - 3
SP - 287
EP - 307
LA - eng
KW - zeta function; monodromy
UR - http://eudml.org/doc/90351
ER -

References

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  1. [AC] N A'Campo, La fonction zeta d'une monodromie, Comm. Math. Helv.50 (1975) 233-248. Zbl0333.14008MR371889
  2. [AS] A. Adolphson and S. Sperber, Exponential sums and Newton polyhedra, Ann. of Math.130 (1989) 367-402. Zbl0723.14017MR1014928
  3. [A] M. Atiyah, Angular momentum, convex polyhedra and algebraic geometry, Bull. London Math. Soc.26 (1983) 121-138. Zbl0521.58026MR705256
  4. [BKH] D. Bernstein, A. Kushnirenko and A. Hovanski, Newton polyhedra, Uspekhi Math. Nauk31(3) (1976) 201-202. Zbl0354.14001MR492376
  5. [D] V. Danilov, The geometry of toric varieties, Russian Math. Surveys33 (1978) 85-134. Zbl0425.14013MR495499
  6. [DL] J. Denef and F. Loeser, Weights of exponential sums, intersection cohomology, and Newton polyhedra, Inv. Math.106 (1991) 275-294. Zbl0763.14025MR1128216
  7. [E] E. Ehrhart, Sur les problem des geometrie diophantienne linear, Crelle J. (1977) A91-A94. 
  8. [K] A. Kushnirenko, Polyedres des Newton et Nombres des Milnor, Inv. Math.32 (1976) 1-31. Zbl0328.32007MR419433
  9. [O] T. Oda, Convex Bodies and Algebraic Geometry, Ergebnisse der Mathematik und ihre Grenzgebiete, 3 Folge. Band 15, Springer-Verlag, 1985. Zbl0628.52002MR922894
  10. [SGA2] Séminaire de geométrie algebrique. 
  11. [Wa] D. Wan, Newton polygons of zeta functions and L-functions, Ann. of Math.137 (1993) 249-293. Zbl0799.11058MR1207208
  12. [We] A. Weil, Numbers of solutions of equations over finite fields, Bull. AMS55 (1949) 497-508. Zbl0032.39402MR29393
  13. [V] A. Varchenko, Zeta function of the monodromy and Newton's diagram, Inv. Math.37 (1976) 253-262. Zbl0333.14007MR424806

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