3 citations · 10 across the 6 of their papers we have counts for
6 papers
On the arithmetic of del Pezzo surfaces of degree 2
Andrew Kresch, Yuri Tschinkel
We study the arithmetic of certain del Pezzo surfaces of degree 2. We produce examples of Brauer-Manin obstruction to the Hasse principle, coming from 2- and 4-torsion elements in…
Littlewood-Richardson rules for Grassmannians
Anders Skovsted Buch, Andrew Kresch, Harry Tamvakis
We give elementary and short proofs of the Littlewood-Richardson rules for type A Grassmannians and maximal isotropic Grassmannians, based on the corresponding Pieri rules.
Gromov-Witten invariants on Grassmannians
Anders Skovsted Buch, Andrew Kresch, Harry Tamvakis
We prove that any three-point genus zero Gromov-Witten invariant on a type A Grassmannian is equal to a classical intersection number on a two-step flag variety. We also give sympl…
Quantum cohomology of orthogonal Grassmannians
Andrew Kresch, Harry Tamvakis
Let V be a vector space with a nondegenerate symmetric form and OG be the orthogonal Grassmannian which parametrizes maximal isotropic subspaces in V. We give a presentation for th…
Quantum cohomology of the Lagrangian Grassmannian
Andrew Kresch, Harry Tamvakis
Let V be a symplectic vector space and LG be the Lagrangian Grassmannian which parametrizes maximal isotropic subspaces in V. We give a presentation for the (small) quantum cohomol…
Schubert Polynomials and Quiver Formulas
Anders Skovsted Buch, Andrew Kresch, Harry Tamvakis +1
The work of Buch and Fulton established a formula for a general kind of degeneracy locus associated to an oriented quiver of type . The main ingredients in this formula are Schu…