Equidimensionality of convolution morphisms and applications to saturation problems
代数几何
2020-01-14 v5 表示论
摘要
We study the fibers of Mirkovic-Vilonen convolution morphisms. We prove their equidimensionality when all the coweights in question are minuscule, and some related statements. We give applications to saturation problems for structure constants of Hecke and representation rings. An erratum has been added to correct insufficiencies in the proofs of Lemma 9.4 and Corollary 9.5 as they appeared in the published version.
引用
@article{arxiv.math/0501504,
title = {Equidimensionality of convolution morphisms and applications to saturation problems},
author = {Thomas J. Haines},
journal= {arXiv preprint arXiv:math/0501504},
year = {2020}
}
备注
Appendix written with M. Kapovich and J. Millson. 27 pages, 1 table. Minor corrections made to section 8. Proof of Theorem 3.1 substantially shortened. Other minor changes. This version to appear in Advances in Mathematics