arXiv:math/0509243 Abstract

arXiv:math/0509243 [math.AG]Abstract References Reviews Resources

On Igusa zeta functions of monomial ideals

Jason Howald, Mircea Mustata, Cornelia Yuen

Published 2005-09-11, updated 2006-09-22Version 4

We show that the real parts of the poles of the Igusa zeta function of a monomial ideal can be computed from the torus-invariant divisors on the normalized blowing-up along the ideal. Moreover, we show that every such number is a root of the Bernstein-Sato polynomial associated to the monomial ideal.

Comments: 10 pages; to appear in Proc. Amer. Math. Soc

Categories: math.AG, math.AC

Subjects: 14B05, 14M25

Keywords: igusa zeta function, monomial ideal, real parts, torus-invariant divisors, normalized blowing-up

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