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

Yutaka Matsui; Kiyoshi Takeuchi

doi:10.1093/imrn/rns092

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

Yutaka Matsui, Kiyoshi Takeuchi

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

15 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1691-1746
Number of pages	56
Journal	International Mathematics Research Notices
Volume	2013
Issue number	8
DOIs	https://doi.org/10.1093/imrn/rns092
Publication status	Published - 2013
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

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10.1093/imrn/rns092

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title = "Monodromy at infinity of polynomial maps and newton polyhedra (with an Appendix by C. Sabbah)",

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

Abstract

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