NAIVE BOUNDARY STRATA AND NILPOTENT ORBITS

被引：6

作者：

Kerr, Matt ^{[1
]}

Pearlstein, Gregory ^{[2
]}

机构：

[1] Washington Univ, Dept Math, St Louis, MO 63130 USA

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

来源：

ANNALES DE L INSTITUT FOURIER | 2014年 / 64卷 / 06期

关键词：

Mumford-Tate groups; Mumford-Tate domains; nilpotent orbits; variation of Hodge structure; Shimura varieties; MIXED HODGE-STRUCTURES; VARIETIES; COMPACTIFICATIONS; COHOMOLOGY; MONODROMY;

D O I：

10.5802/aif.2923

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a Hodge-theoretic parametrization of certain real Lie group orbits in the compact dual of a Mumford-Tate domain, and characterize the orbits which contain a naive limit Hodge filtration. A series of examples are worked out for the groups SU(2, 1), S-p4 and G(2).

引用

页码：2659 / 2714

页数：56

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