Multiplicity of critical points of master functions and Schubert\n calculus

2005/03/07 by Prakash Belkale, E. Mukhin, Belkale, Prakash +3
Computer Science · Mathematics · #14N15 #17B67 #82B23 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.math/0503132

openalex publication_date 2005/03/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In [MV], some correspondences were defined between critical points of master\nfunctions associated to sl_N+1 and subspaces of C[x] with given ramification\nproperties. In this paper we show that these correspondences are in fact scheme\ntheoretic isomorphisms of appropriate schemes. This gives relations between\nmultiplicities of critical point loci of the relevant master functions and\nmultiplicities in Schubert calculus.\n

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