Proof of the Knop conjecture
代数几何
2010-06-03 v6 表示论
摘要
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
引用
@article{arxiv.math/0612561,
title = {Proof of the Knop conjecture},
author = {Ivan V. Losev},
journal= {arXiv preprint arXiv:math/0612561},
year = {2010}
}
备注
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