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arXiv math/0501504math.AGmath.RT

Equidimensionality of convolution morphisms and applications to saturation problems

Thomas J. Haines

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
发表信息：
Adv. Math. 207 (1) (2006) 297-327
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英文摘要：

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.

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