Abstract
Let G be a semisimple connected linear algebraic group over \({\mathbb{C}}\) , 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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Research supported by European Research Training Network LIEGRITS (MRTN-CT 2003- 505078), in contract with CNRS DR17, No 2.