4 citations · 11 across the 9 of their papers we have counts for
11 papers
Upper bounds for measures on distal classes
Ilia Nekrasov, Andrew Snowden
In recent work, Harman and Snowden introduced a notion of measure on a Fraïssé class , and showed how such measures lead to interesting tensor categories. Constructin…
Overgroups of exterior powers of an elementary group. Normalizers
Roman Lubkov, Ilia Nekrasov
We establish two characterizations of an algebraic group scheme over . Geometrically, the scheme is a stabilizer of an explicitly…
Arboreal tensor categories
Nate Harman, Ilia Nekrasov, Andrew Snowden
We introduce some new symmetric tensor categories based on the combinatorics of trees: a discrete family , for an integer, and a continuous family $\mathc…
Overgroups of exterior powers of an elementary group. Levels
Roman Lubkov, Ilia Nekrasov
We prove a first part of the standard description of groups lying between an exterior power of an elementary group and a general linear group $GL_{n \choos…
Dual Infinite Wedge is -equivariantly noetherian
Ilia Nekrasov
We prove the (equivariant) noetherian property for a wide class of varieties generalizing the class of Plucker varieties (Theorem 1). It improves previous results of Draisma-Eggerm…
Compactifications of associated with Alexander self-dual complexes: Chow ring, -classes and intersection numbers
Ilia Nekrasov, Gaiane Panina
An Alexander self-dual complex gives rise to a compactification of , called ASD compactification, which is a smooth algebraic variety. ASD compactifications include (but a…
Explicit equations for exterior square of the general linear group
Roman Lubkov, Ilia Nekrasov
We present several explicit systems of equations defining exterior square of the general linear group as an affine group scheme. Algebraic ingredients of the equations, exterior nu…
Geometric presentation for the cohomology ring of polygon spaces
Ilia Nekrasov, Gaiane Panina
We describe the cohomology ring of the moduli space of a flexible polygon in geometrically meaningful terms. We propose two presentations, both are computation friendly: there are…
Overgroups of exterior powers of an elementary group. I. Levels and normalizers
Roman Lubkov, Ilia Nekrasov
In the present paper, we prove the first part in the standard description of groups lying between -th exterior power of elementary group and the general linear grou…
Intersection numbers of Chern classes of tautological line bundles on the moduli spaces of flexible polygons
Ilia Nekrasov, Gaiane Panina, Alena Zhukova
Given a flexible -gon with generic side lengths, the moduli space of its configurations in as well as in is a smooth manifold. It is equipped with…
Cyclopermutohedron: geometry and topology
Ilia Nekrasov, Gaiane Panina, Alena Zhukova
The face poset of the permutohedron realizes the combinatorics of linearly ordered partitions of the set . Similarly, the cyclopermutohedron is a virtual polytope…