18 citations · 71 across the 15 of their papers we have counts for
6 papers · 1 filter
The isomorphism problem for Schubert varieties
Edward Richmond, William Slofstra
Schubert varieties in the full flag variety of Kac-Moody type are indexed by elements of the corresponding Weyl group. We give a practical criterion for when two such Schubert vari…
The Nash blow-up of a cominuscule Schubert variety
Edward Richmond, William Slofstra, Alexander Woo
We compute the Nash blow-up of a cominuscule Schubert variety. In particular, we show that the Nash blow-up is algebraically isomorphic to another Schubert variety of the same Lie…
Billey-Postnikov decompositions and the fibre bundle structure of Schubert varieties
Edward Richmond, William Slofstra
A theorem of Ryan and Wolper states that a type A Schubert variety is smooth if and only if it is an iterated fibre bundle of Grassmannians. We extend this theorem to arbitrary fin…
Branching Schubert calculus and the Belkale-Kumar product on cohomology
Nicolas Ressayre, Edward Richmond
In 2006, Belkale and Kumar define a new product on the cohomology of flag varieties and use this new product to give an improved solution to the eigencone problem for complex reduc…
A multiplicative formula for structure constants in the cohomology of flag varieties
Edward Richmond
Let G be a complex semi-simple Lie group and let P,Q be a pair of parabolic subgroups of G such that Q contains P. Consider the flag varieties G/P, G/Q and Q/P. We show that certai…
A partial Horn recursion in the cohomology of flag varieties
Edward Richmond
Horn recursion is a term used to describe when non-vanishing products of Schubert classes in the cohomology of complex flag varieties are characterized by inequalities parameterize…