Simple Immersions of Wonderful Varieties

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Let G be a semisimple connected linear algebraic group over C, and X a wonderful G-variety. We study the possibility of realizing X as a closed subvariety of the projective space of a simple G-module. We describe the wonderful varieties having this property as well as the linear systems giving rise to such immersions. We also prove that any ample line bundle on a wonderful variety is very ample.
LaTeX, 20 pages

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Representation Theory, Algebraic Geometry, 14L30; 14M17

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http://salesiana.dossiersoluciones.com/handle/123456789/102080

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0506601
 http://arxiv.org/abs/math/0506601

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arXiv