Regularity in codimension one of orbit closures in module varieties

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dc.creatorZwara, Grzegorz
dc.date2004-02-23
dc.date2004-11-14
dc.date.accessioned2026-07-07T05:05:39Z
dc.date.available2026-07-07T05:05:39Z
dc.descriptionLet M_d(k) denote the space of dxd-matrices with coefficients in an algebraically closed field k. Let X be an orbit closure in the product [M_d(k)]^t equipped with the action of the general linear group GL_d(k) by simultaneous conjugation. We show that X is regular at any its point y such that the orbit of y has codimension one in X. The proof uses mainly the representation theory of associative algebras.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/math/0402359
dc.identifierhttp://arxiv.org/abs/math/0402359
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70243
dc.subjectAlgebraic Geometry
dc.subjectRepresentation Theory
dc.subject14L30; 16G10
dc.titleRegularity in codimension one of orbit closures in module varieties
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