Monodromy zeta functions at infinity, Newton polyhedra and constructible sheaves

Yutaka Matsui, Kiyoshi Takeuchi

Research output: Contribution to journalArticlepeer-review

14 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 languageEnglish
Pages (from-to)409-439
Number of pages31
JournalMathematische Zeitschrift
Volume268
Issue number1-2
DOIs
Publication statusPublished - 2011 Jun
Externally publishedYes

Keywords

  • Constructible sheaves
  • Milnor fibers
  • Monodromy
  • Newton polyhedra

ASJC Scopus subject areas

  • Mathematics(all)

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