arXiv math/00071912000-07math.AG

Decomposition of Marsden-Weinstein reductions for representations of quivers

William Crawley-Boevey

备注：: 12 pages; correction: the arguments do not prove reducedness of the schemes
发表信息：: Compositio Math., 130 (2002), 225-239

英文摘要：

We decompose the Marsden-Weinstein reductions for the moment map associated to representations of a quiver. The decomposition involves symmetric products of deformations of Kleinian singularities, as well as other terms. As a corollary we deduce that the Marsden-Weinstein reductions are irreducible varieties.

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