Uniqueness properties for spherical varieties
Actions hamiltoniennes : invariants et classification. 6 – 10 avril 2009, Les cours du CIRM, no. 1 (2010), pp. 113-120.

The goal of these lectures is to explain speaker’s results on uniqueness properties of spherical varieties. By a uniqueness property we mean the following. Consider some special class of spherical varieties. Define some combinatorial invariants for spherical varieties from this class. The problem is to determine whether this set of invariants specifies a spherical variety in this class uniquely (up to an isomorphism). We are interested in three classes: smooth affine varieties, general affine varieties, and homogeneous spaces.

DOI : 10.5802/ccirm.6
Classification : 14M17
Mots clés : Reductive groups, spherical varieties, combinatorial invariants
Losev, Ivan 1

1 MIT, Department of Mathematics, 77 Massachusetts Avenue, Cambridge MA 02139, USA
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Losev, Ivan. Uniqueness properties for spherical varieties, dans Actions hamiltoniennes : invariants et classification. 6 – 10 avril 2009, Les cours du CIRM, no. 1 (2010), pp. 113-120. doi : 10.5802/ccirm.6. http://archive.numdam.org/articles/10.5802/ccirm.6/

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