Classification of strict wonderful varieties

Details Classification of strict wonderful varieties Classification of strict wonderful varieties

2008-06-13

arxiv.org/abs/0806.2263v2

Mathematics

Algebraic Geometry

39 pages; final version to appear in Annales Inst. Fourier

Scientific paper

In the setting of strict wonderful varieties we answer positively to Luna's conjecture, saying that wonderful varieties are classified by combinatorial objects, the so-called spherical systems. In particular, we prove that strict wonderful varieties are mostly obtained from symmetric spaces, spherical nilpotent orbits or model spaces. To make the paper self-contained as much as possible, we shall gather some known results on these families and more generally on wonderful varieties.

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