2002/08/13 by Prakash Belkale, Belkale, Prakash · 3 citations
Mathematics · #14N15 #14N35 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebraic Geometry (math.AG) #FOS: Mathematics #Mathematics and Applications #Representation Theory (math.RT) #math.AG #math.RT #msc:14N15 #msc:14N35
paper · pdf · doi:10.48550/arxiv.math/0208107
36 pages, accepted for publication in the Journal of Algebraic Geometry
openalex publication_date 2002/08/13 · arxiv created 2005/07/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We provide a geometric proof of the Schubert calculus interpretation of the Horn conjecture, and show how the saturation conjecture follows from it. The geometric proof gives a strengthening of Horn and saturation conjectures. We also establish transversality theorems for Schubert calculus in non-zero characteristic. Some parts of the version posted in Nov 2002 (concerning explicit invariants constructed from Schubert calculus) have been removed from this version. They have appeared separately in IMRN 2004, no. 69, pages 3709--3721 " Invariant theory of GL(n) and Intersection theory of Grassmannians"