Anna S. Bertiger

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This note computes a Gröbner basis for the ideal defining a union of matrix Schubert varieties. Moreover, the theorem presented will work for any union of schemes defined by northwest rank conditions. This provides a means of intersecting a large class of determinantal ideals. Introduction We compute a Gröbner basis for the ideal defining a union of schemes(More)
A driving question in (quantum) cohomology of flag varieties is to find non-recursive, positive combinatorial formulas for expressing the quantum product in a particularly nice basis, called the Schubert basis. Bertram, Ciocan-Fontanine and Fulton provide a way to compute quantum products of Schubert classes in the Grassmannian of k-planes in complex(More)
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