14 citations · 24 across the 7 of their papers we have counts for
4 papers · 2 filters
Double Schubert polynomials and degeneracy loci for the classical groups
Andrew Kresch, Harry Tamvakis
We propose a theory of double Schubert polynomials P_w(X,Y) for the Lie types B, C, D which naturally extends the family of Lascoux of Schutzenberger in type A. These polynomials s…
Hodge-theoretic obstruction to existence of quaternion algebras
Andrew Kresch
The class in the Brauer group of a quaternion algebra over a field is 2-torsion. We study the following question: Which 2-torsion elements of the Brauer group of a complex function…
Gromov-Witten invariants of a class of toric varieties
Andrew Kresch
We describe the quantum cohomology rings of a class of toric varieties. The description includes, in addition to the (already known) ring presentations, the (new) analogues for tor…
Standard conjectures for the arithmetic Grassmannian G(2,N) and Racah polynomials
Andrew Kresch, Harry Tamvakis
We prove the arithmetic Hodge index and hard Lefschetz conjectures for the Grassmannian parametrizing lines in projective space, for the natural arithmetic Lefschetz ope…