Rational smoothness of varieties of representations for quivers of Dynkin type

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With the help of Lusztig's canonical basis, we study local intersection cohomology of the Zariski closures of orbits of representations of a quiver of type A, D or E. In particular, we characterize the rationally smooth orbits and prove that orbit closures are smooth if and only if they are rationally smooth. This provides an analogue of theorems of V. Deodhar, and J. Carrell and D. Peterson on Schubert varieties.
15 pages

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Representation Theory, Algebraic Geometry, 14L30; 17B37

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http://salesiana.dossiersoluciones.com/handle/123456789/67423

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0305149
 http://arxiv.org/abs/math/0305149

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arXiv