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

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

2009-12-28

arxiv.org/abs/0912.5144v12

Mathematics

Algebraic Geometry

43 pages, to appear in IMRN. Sections 6 and 7 of the previous version arXiv:0912.5144v11 were suggested to submit to another j

Scientific paper

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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