Multiplicity of critical points of master functions and Schubert calculus
Abstract
In [MV], some correspondences were defined between critical points of master functions associated to slN+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.
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