Simple immersions of wonderful varieties

Author： Pezzini Guido  

Publisher： Springer Publishing Company

ISSN： 0025-5874

Source： Mathematische Zeitschrift, Vol.255, Iss.4, 2007-04, pp. : 793-812

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Abstract

Let G be a semisimple connected linear algebraic group over , 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.

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