Motivic Milnor Fibers over Complete Intersection Varieties and their Virtual Betti Numbers

被引：13

作者：

Esterov, Alexander ^{[2
]}

Takeuchi, Kiyoshi ^{[1
]}

机构：

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

[2] Univ Complutense, Dept Algebra, Fac Math, E-28040 Madrid, Spain

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2012年 / 2012卷 / 15期

基金：

俄罗斯基础研究基金会;

关键词：

ZETA-FUNCTION; NEWTON POLYHEDRA; MONODROMY; INFINITY; TOPOLOGY;

D O I：

10.1093/imrn/rnr154

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the Jordan normal forms of the local and global monodromies over complete intersection subvarieties of C-n by using the theory of motivic Milnor fibers. The results will be explicitly described by the mixed volumes of the faces of Newton polyhedrons.

引用

页码：3567 / 3613

页数：47

共 9 条

[1] Virtual Betti numbers of real algebraic varieties
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[9] Betti numbers of the Springer fibers over nilpotent elements in gln(C)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$gl_n({\mathbb {C}})$$\end{document} of Jordan form (2b,1a-b)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(2^b,1^{a-b})$$\end{document}
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