arXiv:0912.5144 Abstract | arXiv Analytics

arXiv:0912.5144 [math.AG]Abstract References Reviews Resources

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

Published 2009-12-28, updated 2012-02-22Version 12

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.

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

Categories: math.AG

Subjects: 14E18, 14M25, 32C38, 32S35, 32S40

Keywords: polynomial maps, newton polyhedron, introducing motivic milnor fibers, nilpotent parts, jordan blocks

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