Complete toric varieties with reductive automorphism group

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dc.creatorNill, Benjamin
dc.date2004-07-28
dc.date.accessioned2026-07-07T06:28:27Z
dc.date.available2026-07-07T06:28:27Z
dc.descriptionWe give equivalent and sufficient criteria for the automorphism group of a complete toric variety, respectively a Gorenstein toric Fano variety, to be reductive. In particular we show that the automorphism group of a Gorenstein toric Fano variety is reductive, if the barycenter of the associated reflexive polytope is zero. Furthermore a sharp bound on the dimension of the reductive automorphism group of a complete toric variety is proven by studying the set of Demazure roots.
dc.descriptionAMS-LaTeX, 20 pages with 1 figure
dc.identifierhttps://arxiv.org/abs/math/0407491
dc.identifierhttp://arxiv.org/abs/math/0407491
dc.identifierMath. Z. 252 (2006), 767-786
dc.identifierdoi:10.1007/s00209-005-0880-z
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97703
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.subject14J45; 14J50; 14M25; 52B20
dc.titleComplete toric varieties with reductive automorphism group
dc.typetext

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