Hamiltonian actions of unipotent groups on compact Kshler manifolds

被引：0

作者：

Greb, Daniel ^{[1
]}

Miebach, Christian ^{[2
]}

机构：

[1] Univ Duisburg Essen, Fak Math, Essener Seminar Algebra Geometr & Arithmet, D-45117 Essen, Germany

[2] Univ Littoral Cote dOpale, EA 2797, LMPA Lab Math Pures & Appl Joseph Liouville, F-62228 Calais, France

来源：

EPIJOURNAL DE GEOMETRIE ALGEBRIQUE | 2018年 / 2卷

关键词：

Unipotent algebraic groups; automorphisms of compact Kahler manifolds; Kahler metrics on fibre bundles and homogeneous spaces; moment maps; symplectic reduction; Geometric Invariant Theory;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study meromorphic actions of unipotent complex Lie groups on compact Kahler manifolds using moment map techniques. We introduce natural stability conditions and show that sets of semistable points are Zariski-open and admit geometric quotients that carry compactifiable Kahler structures obtained by symplectic reduction. The relation of our complex-analytic theory to the work of Doran-Kirwan regarding the Geometric Invariant Theory of unipotent group actions on projective varieties is discussed in detail.

引用

页数：30

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