Equidimensionality of convolution morphisms and applications to saturation problems

Details Equidimensionality of convolution morphisms and applications to saturation problems Equidimensionality of convolution morphisms and applications to saturation problems

2005-01-28

arxiv.org/abs/math/0501504v4

Mathematics

Algebraic Geometry

Appendix written with M. Kapovich and J. Millson. 27 pages, 1 table. Minor corrections made to section 8. Proof of Theorem 3.1

Scientific paper

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.

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