90 citations · 418 across the 58 of their papers we have counts for
71 papers
Extremality of principal quiver Grassmannians
Giovanni Cerulli Irelli, Evgeny Feigin, Markus Reineke
We study families of quiver Grassmannians, parametrizing subrepresentations of representations of Dyn\-kin quivers, which are naturally associated to a projective and an injective…
Truncated Grassmannians, blow-ups along Schubert varieties and collineations
Evgeny Feigin
Truncated Grassmannians are defined as closures of orbits of abelian unipotent groups acting on the degree truncations of projectivized wedge powers. We show that such truncations…
PrIncipal quiver Grassmannians: conjectures
Stanislav Fedotov, Evgeny Feigin
Let and be a projective and an injective representations of a Dynkin quiver. We consider quiver Grassmannians of subrepresentations of dimension inside representat…
From brick manifolds to Grassmannians of bimodules
Evgeny Feigin, Markus Reineke
We study a class of Grassmannians of sub-bimodules over the path algebras of quivers. Our quiver Grassmannians include Escobar's brick manifolds as well as Labelle's generalization…
Global positroid varieties
Evgeny Feigin
Positroid subvarieties of complex Grassmannians are the images of the Richardson subvarieties of the full flag varieties under the natural projection map. Positroid varieties admit…
Type A algebraic coherence conjecture of Pappas and Rapoport
Evgeny Feigin, an appendix in collaboration with Andrey Karenskih
The Pappas--Rapoport coherence conjecture, proved by Zhu, states that the dimensions of spaces of sections of certain line bundles coincide. The two sides of the equality correspon…