Uniqueness properties for spherical varieties

Details Uniqueness properties for spherical varieties Uniqueness properties for spherical varieties

2009-04-19

arxiv.org/abs/0904.2937v2

Mathematics

Algebraic Geometry

These are expanded notes of the lectures given by the author in CIRM, Luminy, in April 2009, during the school on spherical va

Scientific paper

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.

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