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.
Mots-clés : Reductive groups, spherical varieties, combinatorial invariants
@article{CCIRM_2010__1_1_113_0,
author = {Losev, Ivan},
title = {Uniqueness properties for spherical varieties},
booktitle = {Actions hamiltoniennes~: invariants et classification. 6 {\textendash} 10 avril 2009},
series = {Les cours du CIRM},
pages = {113--120},
publisher = {CIRM},
number = {1},
year = {2010},
doi = {10.5802/ccirm.6},
language = {en},
url = {http://www.numdam.org/articles/10.5802/ccirm.6/}
}
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%0 Journal Article %A Losev, Ivan %T Uniqueness properties for spherical varieties %B Actions hamiltoniennes : invariants et classification. 6 – 10 avril 2009 %A Collectif %S Les cours du CIRM %D 2010 %P 113-120 %N 1 %I CIRM %U http://www.numdam.org/articles/10.5802/ccirm.6/ %R 10.5802/ccirm.6 %G en %F CCIRM_2010__1_1_113_0
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://www.numdam.org/articles/10.5802/ccirm.6/
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