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Normality of Marsden-Weinstein reductions for representations of quivers

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Abstract.

 We prove that the Marsden-Weinstein reductions for the moment map associated to representations of a quiver are normal varieties. We give an application to conjugacy classes of matrices.

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Authors and Affiliations

  1. Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT, UK (e-mail: w.crawley-boevey@leeds.ac.uk), , , , , , GB

    William Crawley-Boevey

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  1. William Crawley-Boevey
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Received: 10 August 2001 / Published online: 16 October 2002

Mathematics Subject Classification (2000): 16G20, 53D20, 14B05.

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Crawley-Boevey, W. Normality of Marsden-Weinstein reductions for representations of quivers. Math. Ann. 325, 55–79 (2003). https://doi.org/10.1007/s00208-002-0367-8

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  • DOI: https://doi.org/10.1007/s00208-002-0367-8

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