Homogeneous toric varieties

Details Homogeneous toric varieties Homogeneous toric varieties

2009-08-13

arxiv.org/abs/0908.1851v2

J. Lie Theory 20 (2010), no. 2, 283-293.

Mathematics

Algebraic Geometry

9 pages

Scientific paper

A description of transitive actions of a semisimple algebraic group G on toric varieties is obtained. Every toric variety admitting such an action lies between a product of punctured affine spaces and a product of projective spaces. The result is based on the Cox realization of a toric variety as a quotient space of an open subset of a vector space V by a quasitorus action and on investigation of the G-module structure of V.

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