Milnor fibers over singular toric varieties and nearby cycle sheaves

Yutaka Matsui; Kiyoshi Takeuchi

doi:10.2748/tmj/1303219938

Milnor fibers over singular toric varieties and nearby cycle sheaves

Yutaka Matsui, Kiyoshi Takeuchi

SCI - Mathematics

Kindai University

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

Abstract

We apply sheaf-theoretical methods to monodromy zeta functions of Milnor fibrations. Classical formulas due to Kushnirenko, Varchenko and Oka, etc. on polynomials over the complex affine space will be generalized to polynomial functions over any toric variety. Moreover our results enable us to calculate the monodromy zeta functions of any constructible sheaf.

Original language	English
Pages (from-to)	113-136
Number of pages	24
Journal	Tohoku Mathematical Journal
Volume	63
Issue number	1
DOIs	https://doi.org/10.2748/tmj/1303219938
Publication status	Published - 2011 Mar

Keywords

Milnor fibers
Monodromy zeta functions
Toric varieties

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10.2748/tmj/1303219938

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author = "Yutaka Matsui and Kiyoshi Takeuchi",

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KW - Monodromy zeta functions

KW - Toric varieties

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Milnor fibers over singular toric varieties and nearby cycle sheaves

Abstract

Keywords

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