Rational smoothness of varieties of representations for quivers of Dynkin type

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dc.creatorCaldero, Philippe
dc.creatorSchiffler, Ralf
dc.date2003-05-09
dc.date.accessioned2026-07-07T04:57:53Z
dc.date.available2026-07-07T04:57:53Z
dc.descriptionWith 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.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/0305149
dc.identifierhttp://arxiv.org/abs/math/0305149
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67423
dc.subjectRepresentation Theory
dc.subjectAlgebraic Geometry
dc.subject14L30; 17B37
dc.titleRational smoothness of varieties of representations for quivers of Dynkin type
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