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

Yutaka Matsui; Kiyoshi Takeuchi

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

Algebraic Geometry 2012-02-23 v9

Authors: Yutaka Matsui , Kiyoshi Takeuchi

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.

Keywords

monodromy at infinity motivic Milnor fiber Newton polyhedron polynomial map Jordan block nilpotent part

Cite

@article{arxiv.0912.5144,
  title  = {Monodromy at infinity of polynomial maps and Newton polyhedra (with Appendix by C. Sabbah)},
  author = {Yutaka Matsui and Kiyoshi Takeuchi},
  journal= {arXiv preprint arXiv:0912.5144},
  year   = {2012}
}

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

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

Abstract

Keywords

Cite

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