On fibers of algebraic invariant moment maps

Details On fibers of algebraic invariant moment maps On fibers of algebraic invariant moment maps

2007-03-10

arxiv.org/abs/math/0703296v3

Transformation Groups, 14(2009), 887-930

Mathematics

Algebraic Geometry

37 pages, v2 38 pages, moderate changes made, some auxiliary statements modified, v3 final version, to appear in Transf. Group

Scientific paper

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 varieity. We prove that all fibers have equal dimension. Further, under some additional restrictions, we show that the quotients of fibers are irreducible normal schemes. This paper is an expanded version of Section 5 and Subsection 7.2 of AG/0612559v1.

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