34 citations · 68 across the 11 of their papers we have counts for
12 papers
Set-valued tableaux and cells of Gelfand-Zetlin polytopes
Evgeny Smirnov
Two combinatorial rules are known for the Grassmannian Grothendieck polynomial : a sum over set-valued tableaux of shape , due to Buch, and a sum over the efficient c…
Polyhedral models for K-theory of toric and flag varieties
Leonid Monin, Evgeny Smirnov
In 1992, Pukhlikov and Khovanskii provided a description of the cohomology ring of toric variety as a quotient of the ring of differential operators on spaces of virtual polytopes.…
Pipe dreams for Schubert polynomials of the classical groups
Evgeny Smirnov, Anna Tutubalina
Schubert polynomials for the classical groups were defined by S.Billey and M.Haiman in 1995; they are polynomial representatives of Schubert classes in a full flag variety of a cla…
Slide polynomials and subword complexes
Evgeny Smirnov, Anna Tutubalina
Subword complexes were defined by A.Knutson and E.Miller in 2004 for describing Gröbner degenerations of matrix Schubert varieties. The facets of such a complex are indexed by pipe…
Singularities of divisors on flag varieties via Hwang's product theorem
Evgeny Smirnov
We give an alternative proof of a recent result by Pasquier stating that for a generalized flag variety and an effective -divisor stable with respect to a B…
Grassmannians, flag varieties, and Gelfand-Zetlin polytopes
Evgeny Smirnov
These are extended notes of a talk given at Maurice Auslander Distinguished Lectures and International Conference (Woods Hole, MA) in April 2013. Their aim is to give an introducti…