Monodromy zeta functions at infinity, Newton polyhedra and constructible sheaves

Yutaka Matsui; Kiyoshi Takeuchi

doi:10.1007/s00209-010-0678-5

Monodromy zeta functions at infinity, Newton polyhedra and constructible sheaves

Yutaka Matsui, Kiyoshi Takeuchi

SCI - Mathematics

Kindai University

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

16 Citations (Scopus)

Abstract

By using sheaf-theoretical methods such as constructible sheaves, we generalize the formula of Libgober-Sperber concerning the zeta functions of monodromy at infinity of polynomial maps into various directions. In particular, some formulas for the zeta functions of global monodromy along the fibers of bifurcation points of polynomial maps will be obtained.

Original language	English
Pages (from-to)	409-439
Number of pages	31
Journal	Mathematische Zeitschrift
Volume	268
Issue number	1-2
DOIs	https://doi.org/10.1007/s00209-010-0678-5
Publication status	Published - 2011 Jun

Keywords

Constructible sheaves
Milnor fibers
Monodromy
Newton polyhedra

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10.1007/s00209-010-0678-5

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abstract = "By using sheaf-theoretical methods such as constructible sheaves, we generalize the formula of Libgober-Sperber concerning the zeta functions of monodromy at infinity of polynomial maps into various directions. In particular, some formulas for the zeta functions of global monodromy along the fibers of bifurcation points of polynomial maps will be obtained.",

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AU - Takeuchi, Kiyoshi

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AB - By using sheaf-theoretical methods such as constructible sheaves, we generalize the formula of Libgober-Sperber concerning the zeta functions of monodromy at infinity of polynomial maps into various directions. In particular, some formulas for the zeta functions of global monodromy along the fibers of bifurcation points of polynomial maps will be obtained.

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KW - Milnor fibers

KW - Monodromy

KW - Newton polyhedra

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Monodromy zeta functions at infinity, Newton polyhedra and constructible sheaves

Abstract

Keywords

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