Journal of Lie Theory

no. 2
Homogeneous Toric Varieties
Journal of Lie Theory, Volume 20 (2010) no. 2, pp. 283-293
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.
DOI: 10.5802/jolt.596
Classification: 14L30, 14M17, 14M25
Keywords: Toric variety, homogeneous space, Cox construction 
@article{JOLT_2010_20_2_a2,
     author = {I. V. Arzhantsev and S. A. Gaifullin},
     title = {Homogeneous {Toric} {Varieties}},
     journal = {Journal of Lie Theory},
     pages = {283--293},
     year = {2010},
     volume = {20},
     number = {2},
     doi = {10.5802/jolt.596},
     zbl = {1264.14063},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.596/}
}
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I. V. Arzhantsev; S. A. Gaifullin. Homogeneous Toric Varieties. Journal of Lie Theory, Volume 20 (2010) no. 2, pp. 283-293. doi: 10.5802/jolt.596

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