Complete toric varieties with reductive automorphism group

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We 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.
AMS-LaTeX, 20 pages with 1 figure

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Algebraic Geometry, Combinatorics, 14J45; 14J50; 14M25; 52B20

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http://salesiana.dossiersoluciones.com/handle/123456789/97703

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0407491
 http://arxiv.org/abs/math/0407491
 Math. Z. 252 (2006), 767-786
 doi:10.1007/s00209-005-0880-z

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arXiv