Algebraicity of Hodge loci for variations of Hodge structure

被引：2

作者：

Cattani, Eduardo ^{[1
]}

Kaplan, Aroldo ^{[1
]}

机构：

[1] Univ Massachusetts, Dept Math & Stat, Amherst, MA 01002 USA

来源：

HODGE THEORY, COMPLEX GEOMETRY, AND REPRESENTATION THEORY | 2014年 / 608卷

关键词：

INTEGRALS; MONODROMY; MANIFOLDS; PERIODS;

D O I：

10.1090/conm/608/12176

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

These notes are intended to be a companion to Cattani, Deligne, and Kaplan (1995), where the algebraicity of the loci of Hodge classes is proven without appealing to the Hodge conjecture. We give somewhat simplified proofs in the case of variations of Hodge structures over curves and surfaces which may help to clarify the arguments, and discuss some current generalizations, consequences and conjectures based on them.

引用

页码：59 / 83

页数：25

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