Simple Immersions of Wonderful Varieties

Details Simple Immersions of Wonderful Varieties Simple Immersions of Wonderful Varieties

2005-06-29

arxiv.org/abs/math/0506601v2

Mathematics

Representation Theory

LaTeX, 20 pages

Scientific paper

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.

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