Multiplicity of critical points of master functions and Schubert calculus
Quantum Algebra
2016-09-07 v3 Algebraic Geometry
Abstract
In [MV], some correspondences were defined between critical points of master functions associated to sl_{N+1} and subspaces of C[x] with given ramification properties. In this paper we show that these correspondences are in fact scheme theoretic isomorphisms of appropriate schemes. This gives relations between multiplicities of critical point loci of the relevant master functions and multiplicities in Schubert calculus.
Keywords
Cite
@article{arxiv.math/0503132,
title = {Multiplicity of critical points of master functions and Schubert calculus},
author = {Prakash Belkale and Evgeny Mukhin and Alexander Varchenko},
journal= {arXiv preprint arXiv:math/0503132},
year = {2016}
}
Comments
23 pages, some misprints were corrected