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).
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页码：719 / 768
页数：50
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