Multiplicity of critical points of master functions and Schubert calculus

Details Multiplicity of critical points of master functions and Schubert calculus Multiplicity of critical points of master functions and Schubert calculus

2005-03-07

arxiv.org/abs/math/0503132v3

Mathematics

Quantum Algebra

23 pages, some misprints were corrected

Scientific paper

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.

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