DMCA
Uniqueness property for spherical homogeneous spaces
by
Ivan V. Losev
| Venue: | Duke Math J |
| Citations: | 28 - 3 self |
BibTeX
@ARTICLE{Losev_uniquenessproperty,
author = {Ivan V. Losev},
title = {Uniqueness property for spherical homogeneous spaces},
journal = {Duke Math J},
year = {},
pages = {315--343}
}
Share
 |
 |
 |
 |
||
OpenURL
Abstract
Abstract. Let G be a connected reductive group. Recall that a homogeneous G-space X is called spherical if a Borel subgroup B ⊂ G has an open orbit on X. To X one assigns certain combinatorial invariants: the weight lattice, the valuation cone and the set of B-stable prime divisors. We prove that two spherical homogeneous spaces with the same combinatorial invariants are equivariantly isomorphic. Further, we recover the group of G-equivariant automorphisms of X from these invariants. 1.
