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

共 50 条

[21] A limit formula for even nilpotent orbits
Bozicevic, Mladen
[J]. INTERNATIONAL JOURNAL OF MATHEMATICS, 2008, 19 (02) : 223 - 236
[22] Instantons and Kahler geometry of nilpotent orbits
Brylinski, R
[J]. REPRESENTATION THEORIES AND ALGEBRAIC GEOMETRY, 1998, 514 : 85 - 125
[23] Large -orbits for -nilpotent linear groups
Gluck, David
[J]. MATHEMATISCHE ZEITSCHRIFT, 2016, 284 (3-4) : 1035 - 1052
[24] Symplectic resolutions for nilpotent orbits (III)
Fu, BH
[J]. COMPTES RENDUS MATHEMATIQUE, 2006, 342 (08) : 585 - 588
[25] Induced nilpotent orbits and birational geometry
Namikawa, Yoshinori
[J]. ADVANCES IN MATHEMATICS, 2009, 222 (02) : 547 - 564
[26] IRREDUCIBLE LOCAL SYSTEMS ON NILPOTENT ORBITS
Sommers, Eric N.
[J]. BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES, 2018, 13 (03): : 293 - 315
[27] QUANTIZATIONS OF REGULAR FUNCTIONS ON NILPOTENT ORBITS
Losen, Ivan
[J]. BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES, 2018, 13 (02): : 199 - 225
[28] Two results on equations of nilpotent orbits
Weyman, J
[J]. JOURNAL OF ALGEBRAIC GEOMETRY, 2002, 11 (04) : 791 - 800
[29] THE EXISTENCE OF REGULAR ORBITS FOR NILPOTENT GROUPS
HARGRAVES, BB
[J]. JOURNAL OF ALGEBRA, 1981, 72 (01) : 54 - 100
[30] Sympletic resolutions for coverings of nilpotent orbits
Fu, BH
[J]. COMPTES RENDUS MATHEMATIQUE, 2003, 336 (02) : 159 - 162

← 1 2 3 4 5 →