English

Monodromy zeta functions at infinity, Newton polyhedra and constructible sheaves

Algebraic Geometry 2009-12-28 v9

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.

Keywords

Cite

@article{arxiv.0809.3149,
  title  = {Monodromy zeta functions at infinity, Newton polyhedra and constructible sheaves},
  author = {Yutaka Matsui and Kiyoshi Takeuchi},
  journal= {arXiv preprint arXiv:0809.3149},
  year   = {2009}
}

Comments

31 pages; revised

R2 v1 2026-06-21T11:21:37.104Z