3 papers
math.CO2024
Regular subdivisions, bounds on initial ideals, and categorical limits
George Balla, Daniel Corey, Igor Makhlin +1
Several known constructions relate initial degenerations of projective toric varieties and Grassmannians to regular subdivisions of appropriate point configurations. We define a ge…
math.RT2019
PBW degenerate Schubert varieties: Cartan components and counterexamples
Igor Makhlin
In recent years PBW degenerations of Demazure modules and Schubert varieties were defined and studied in several papers. Various interesting properties (such as these PBW degenerat…
math.RT2018
Gelfand--Tsetlin degenerations of representations and flag varieties
Igor Makhlin
Our main goal is to show that the Gelfand--Tsetlin toric degeneration of the type A flag variety can be obtained within a degenerate representation-theoretic framework similar to t…