On the Monodromies and the Limit Mixed Hodge Structures of Families of Algebraic Varieties

被引：0

作者：

Saito, Takahiro ^{[1
]}

Takeuchi, Kiyoshi ^{[2
]}

机构：

[1] Kyoto Univ, Res Inst Math Sci, Kyoto 6068502, Japan

[2] Tohoku Univ, Math Inst, Aramaki Aza Aoba 6-3,Aobaku Ku, Sendai 9808578, Japan

来源：

MICHIGAN MATHEMATICAL JOURNAL | 2023年 / 73卷 / 03期

关键词：

INFINITY; COHOMOLOGY; TOPOLOGY; NUMBERS;

D O I：

10.1307/mmj/20205992

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the monodromies and the limit mixed Hodge structures of families of complete intersection varieties over a punctured disk in the complex plane. For this purpose, we express their motivic nearby fibers in terms of the geometric data of some Newton polyhedra. In particular, the limit mixed Hodge numbers and some part of the Jordan normal forms of the monodromies of such a family will be described very explicitly.

引用

页码：631 / 668

页数：38

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