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math.AG2014★ 2 cited
The Orbits of the Symplectic Group on the Flag Manifold
Anna Bertiger
We examine the orbits of the (complex) symplectic group, , on the flag manifold, , in a very concrete way. We use two approaches: we Gröbner…
math.AG2014
Generating the Ideals Defining Unions of Schubert Varieties
Anna Bertiger
This note computes a Gröbner basis for the ideal defining a union of Schubert varieties. More precisely, it computes a Gröbner basis for unions of schemes given by northwest rank c…
math.AG2014
Equivariant Quantum Cohomology of the Grassmannian via the Rim Hook Rule
Anna Bertiger, Elizabeth Milićević, Kaisa Taipale
A driving question in (quantum) cohomology of flag varieties is to find non-recursive, positive combinatorial formulas for expressing the product of two classes in a particularly n…