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Monodromy zeta functions at infinity, Newton polyhedra and constructible sheaves

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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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Authors and Affiliations

  1. Department of Mathematics, Kinki University, 3-4-1 Kowakae, Higashi-Osaka, Osaka, 577-8502, Japan

    Yutaka Matsui

  2. Institute of Mathematics, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki, 305-8571, Japan

    Kiyoshi Takeuchi

Authors
  1. Yutaka Matsui
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  2. Kiyoshi Takeuchi
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Correspondence to Yutaka Matsui.

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Matsui, Y., Takeuchi, K. Monodromy zeta functions at infinity, Newton polyhedra and constructible sheaves. Math. Z. 268, 409–439 (2011). https://doi.org/10.1007/s00209-010-0678-5

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  • DOI: https://doi.org/10.1007/s00209-010-0678-5

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