Proof of the Knop conjecture
Algebraic Geometry
2010-06-03 v6 Representation Theory
Abstract
In this paper we prove the Knop conjecture asserting that two smooth affine spherical varieties with the same weight monoids are equivariantly isomorphic. We also state and prove a uniqueness property for not necessarily smooth affine spherical varieties
Cite
@article{arxiv.math/0612561,
title = {Proof of the Knop conjecture},
author = {Ivan V. Losev},
journal= {arXiv preprint arXiv:math/0612561},
year = {2010}
}
Comments
31 pages, v2,v3 typos fixed, minor mistakes are corrected, references added v4 20 pages, crucial changes made. The proof now uses results of AG/0703543. A new result concerning a uniqueness property of not necessarily smooth affine spherical varieties is added, v6 final version, to appear in Annales de l Institut Fourier