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arXiv:math/0603131 [math.AG]AbstractReferencesReviewsResources

Two step flag manifolds and the Horn conjecture

Kevin Purbhoo

Published 2006-03-06, updated 2006-03-09Version 2

We give a simplification of Belkale's geometric proof of the Horn conjecture. Our approach uses the geometry of two-step flag manifolds to explain the occurrence of the Horn inequalities in a very straightforward way. The arguments for both necessity and sufficiency of the Horn inequalities are fairly conceptual when viewed in this framework. We provide examples to illustrate the method of proof.

Comments: 22 pages, author's institution corrected
Categories: math.AG, math.CO
Subjects: 14N15
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