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Showing 1 to 3 of 3 for “"Determinantal varieties."”.
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On quasi-dominant weights and Hilbert series of determinantal varieties.
The coordinate rings of the classical determinantal varieties are each isomorphic to a classical invariant ring by Weyl's fundamental theorems of invariant theory. Since these rings are Cohen-Macaulay, their Hilbert series are rational functions whose numerator polynomials have nonnegative integer …
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Enumerative problems in intersection theory
… the Fano variety of a cubic in surface in P3 , determinantal varieties, and the number of conics tangent to five conics in P2 .
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Prism tableaux and alternating sign matrices
… as multidegrees of the matrix Schubert varieties of Fulton. We study a more general class of determinantal varieties, indexed by ASMs. More generally, one can consider subvarieties of the space of n by n matrices cut out by imposing rank conditions on maximal northwest submatrices. We …