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math.AG2026
Tangent cones to Schubert varieties for Kac--Moody groups
Stepan Bondar, Mikhail Ignatev
Let be the affine Kac--Moody group of type , be an Iwahori subgroup in , be the flag variety, and be the Weyl group of . Giv…
math.AG2025
On flexibility of trinomial varieties
Mikhail Ignatev, Timofey Vilkin
Trinomial varieties are affine varieties given by a system of equations consisting of polynomials with three terms. Such varieties are total coordinate spaces of normal varieties w…
math.AG2021
Automorphism groups of ind-varieties of generalized flags
Mikhail Ignatev, Ivan Penkov
We compute the group of automorphisms of an arbitrary ind-variety of (possibly isotropic) generalized flags. Such an ind-variety is a homogeneous ind-space for one of the ind-group…