A constructive approach to the classification of wonderful varieties

Details A constructive approach to the classification of wonderful varieties A constructive approach to the classification of wonderful varieties

2011-03-02

arxiv.org/abs/1103.0380v1

Mathematics

Algebraic Geometry

34 pages, this is the first of three papers which are going to supersede arXiv:0909.3771

Scientific paper

Let G be an adjoint semisimple complex linear group. We analyze the relationship between the algebraic and the combinatorial point of view on Luna's theory of wonderful G-varieties. Some techniques relating a spherical system to its associated wonderful subgroup are discussed; as a byproduct, we reduce for any group G the proof of the classification to its verification on a small family of spherical systems, called primitive.

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