On fibers of algebraic invariant moment maps

被引：1
|
作者：
Losev, Ivan [1 ]
机构：
[1] MIT, Dept Math, Cambridge, MA 02139 USA
来源：
TRANSFORMATION GROUPS | 2009年 / 14卷 / 04期
关键词：
SYMPLECTIC REPRESENTATIONS; REDUCTIVE GROUPS; CONVEXITY; RINGS;
D O I：
10.1007/s00031-009-9066-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study some properties of fibers of the invariant moment map for a Hamiltonian action of a reductive group on an affine symplectic variety. We prove that all fibers have equal dimension. Further, under some additional restrictions, we show that the quotients of fibers are irreducible normal schemes.
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页码：887 / 930
页数：44
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