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arXiv · 0806.2263

Classification of strict wonderful varieties

Paolo Bravi·Stéphanie Cupit-Foutou
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Abstract

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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Paolo Bravi, Stéphanie Cupit-Foutou. 2009-10-08. Classification of strict wonderful varieties. https://arxiv.org/abs/0806.2263

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