This article is cited in 19 papers

Symplectic slices for actions of reductive groups

I. V. Losev

M. V. Lomonosov Moscow State University

Abstract: Let $G$ be a reductive algebraic group over the field $\mathbb C$, $X$ a symplectic smooth affine algebraic variety, $G:X$ a Hamiltonian action, $x$ a point in $X$ with closed orbit. The structure of the variety $X$ in some invariant neighbourhood of the point $x$ is described. The neighbourhood is taken in the complex topology.
Bibliography: 6 titles.

UDC: 512.745

MSC: Primary 14L30; Secondary 14M17, 22E46, 53D20

Received: 02.12.2004

DOI: 10.4213/sm1512

 English version: Sbornik: Mathematics, 2006, 197:2, 213–224

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