A connectedness property of algebraic moment maps

Details A connectedness property of algebraic moment maps A connectedness property of algebraic moment maps

2001-08-09

arxiv.org/abs/math/0108069v1

J. Algebra 258 (2002), 122-136

Mathematics

Algebraic Geometry

15 pages

Scientific paper

10.1016/S0021-8693(02)00509-4

Let a connected reductive group G act on the smooth connected variety X. The
cotangent bundle of X is a Hamiltonian G-variety. We show that its "total
moment map" has connected fibers.
This is an expanded version of section 6 of my paper dg-ga/9712010 on Weyl
groups of Hamiltonian manifolds.

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