Geometric Invariant Theory based on Weil Divisors

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dc.creatorHausen, Juergen
dc.date2003-01-19
dc.date2003-12-10
dc.date.accessioned2026-07-07T04:54:32Z
dc.date.available2026-07-07T04:54:32Z
dc.descriptionGiven an action of a reductive group on a normal variety, we construct all invariant open subsets admitting a good quotient with a quasiprojective or a divisorial quotient space. Our approach extends known constructions like Mumford's Geometric Invariant Theory. We obtain several new Hilbert-Mumford type theorems, and we extend a projectivity criterion of Bialynicki-Birula and Swiecicka for varieties with semisimple group action from the smooth to the singular case.
dc.descriptionFinal version, to appear in Compositio Math
dc.identifierhttps://arxiv.org/abs/math/0301204
dc.identifierhttp://arxiv.org/abs/math/0301204
dc.identifierCompositio Math. 140, 1518-1536 (2004)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66292
dc.subjectAlgebraic Geometry
dc.subject14L24, 14L30
dc.titleGeometric Invariant Theory based on Weil Divisors
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