Differential forms and smoothness of quotients by reductive groups

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dc.creatorJamet, Guillaume
dc.date2000-11-02
dc.date.accessioned2026-07-07T04:38:25Z
dc.date.available2026-07-07T04:38:25Z
dc.descriptionIn this paper we give smoothness criterions for a good quotient Y of a smooth variety X by a reductive group G. Our results partially answer a question raised by J. Fogarty in the case where G is a finite group. They also give a converse to a theorem of M. Brion, telling that invariant horizontal differential forms on X and differential forms on Y are isomorphic under the assumption that Y is smooth. The proof of our criterion rely on a new description of the dualizing sheaf of Y established in this article.
dc.description25 pages, Latex2e with xy-pic, submitted to Compositio Math
dc.identifierhttps://arxiv.org/abs/math/0011014
dc.identifierhttp://arxiv.org/abs/math/0011014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60273
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject13A50; 14L24; 14B05; 14J17
dc.titleDifferential forms and smoothness of quotients by reductive groups
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