Monodromy at Infinity of Polynomial Maps and Newton Polyhedra (with an Appendix by C. Sabbah)

被引：17

作者：

Matsui, Yutaka ^{[1
]}

Takeuchi, Kiyoshi ^{[2
]}

机构：

[1] Kinki Univ, Dept Math, Higashiosaka, Osaka 5778502, Japan

[2] Univ Tsukuba, Inst Math, Tsukuba, Ibaraki 3058571, Japan

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2013年 / 2013卷 / 08期

关键词：

VANISHING CYCLES; ZETA-FUNCTION; TRANSFORM; NUMBERS;

D O I：

10.1093/imrn/rns092

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：1691 / 1746

页数：56

共 4 条

[1] Monodromy zeta functions at infinity, Newton polyhedra and constructible sheaves
Yutaka Matsui
Kiyoshi Takeuchi
Mathematische Zeitschrift, 2011, 268 : 409 - 439
[2] Monodromy zeta functions at infinity, Newton polyhedra and constructible sheaves
Matsui, Yutaka
Takeuchi, Kiyoshi
MATHEMATISCHE ZEITSCHRIFT, 2011, 268 (1-2) : 409 - 439
[3] Properness of Polynomial Maps with Newton Polyhedra
Fukui T.
Tsuchiya T.
Arnold Mathematical Journal, 2023, 9 (2) : 205 - 221
[4] MONODROMY ZETA-FUNCTION OF A POLYNOMIAL ON A COMPLETE INTERSECTION, AND NEWTON POLYHEDRA
Gusev, G. G.
ST PETERSBURG MATHEMATICAL JOURNAL, 2012, 23 (03) : 511 - 519

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