Monodromy at infinity of polynomial maps and Newton polyhedra (with Appendix by C. Sabbah)

2009/12/28 by Matsui, Yutaka, Takeuchi, Kiyoshi · 1 citation
#14E18 #14M25 #32C38 #32S35 #32S40 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0912.5144

Abstract

By introducing motivic Milnor fibers at infinity of polynomial maps, we propose some methods for the study of nilpotent parts of monodromies at infinity. The numbers of Jordan blocks in the monodromy at infinity will be described by the Newton polyhedron at infinity of the polynomial.

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• Mixed Hodge structures for vanishing cycles and orbifold cohomology

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