Schubert varieties as variations of Hodge structure

被引：11

作者：

Robles, C. ^{[1
]}

机构：

[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

来源：

SELECTA MATHEMATICA-NEW SERIES | 2014年 / 20卷 / 03期

基金：

美国国家科学基金会;

关键词：

Schubert variety; Variation of Hodge structure; Infinitesimal period relation; Griffiths' transversality; Hodge theory; Mumford-Tate group; LIE ALGEBRA COHOMOLOGY; INFINITESIMAL VARIATIONS; MANIFOLDS; INVARIANT; INTEGRALS; PERIODS;

D O I：

10.1007/s00029-014-0148-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We (1) characterize the Schubert varieties that arise as variations of Hodge structure (VHS); (2) show that the isotropy orbits of the infinitesimal Schubert VHS 'span' the space of all infinitesimal VHS; and (3) show that the cohomology classes dual to the Schubert VHS form a basis of the invariant characteristic cohomology associated with the infinitesimal period relation (a.k.a. Griffiths' transversality).

引用

页码：719 / 768

页数：50

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