Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Nekrasov, Ilia"'
Autor:
Nekrasov, Ilia, Snowden, Andrew
In recent work, Harman and Snowden introduced a notion of measure on a Fra\"iss\'e class $\mathfrak{F}$, and showed how such measures lead to interesting tensor categories. Constructing and classifying measures is a difficult problem, and so far only
Externí odkaz:
http://arxiv.org/abs/2407.19131
Autor:
Lubkov, Roman, Nekrasov, Ilia
We establish two characterizations of an algebraic group scheme $\bigwedge^m GL_n$ over $\mathbb{Z}$. Geometrically, the scheme $\bigwedge^m GL_n$ is a stabilizer of an explicitly given invariant form or, generally, an invariant ideal of forms. Algeb
Externí odkaz:
http://arxiv.org/abs/2310.00101
We introduce some new symmetric tensor categories based on the combinatorics of trees: a discrete family $\mathcal{D}(n)$, for $n \ge 3$ an integer, and a continuous family $\mathcal{C}(t)$, for $t \ne 1$ a complex number. The construction is based o
Externí odkaz:
http://arxiv.org/abs/2308.06660
Autor:
Lubkov, Roman, Nekrasov, Ilia
We prove a first part of the standard description of groups $H$ lying between an exterior power of an elementary group $\bigwedge^m E_n(R)$ and a general linear group $GL_{n \choose m}(R)$ for a commutative ring $R$, $2\in R^*$ and $n\geqslant 3m$. T
Externí odkaz:
http://arxiv.org/abs/2201.13034
Autor:
Nekrasov, Ilia
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-Eggermont who treated the case of bounded Plucker varieties. Key ingredient
Externí odkaz:
http://arxiv.org/abs/2008.09531
Autor:
Nekrasov, Ilia, Panina, Gaiane
An Alexander self-dual complex gives rise to a compactification of $M_{0,n}$, called ASD compactification, which is a smooth algebraic variety. ASD compactifications include (but are not exhausted by) the polygon spaces, or the moduli spaces of flexi
Externí odkaz:
http://arxiv.org/abs/1808.08600
Autor:
Lubkov, Roman, Nekrasov, Ilia
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 numbers, are translated into the language of weight diagrams correspondi
Externí odkaz:
http://arxiv.org/abs/1803.05721
Autor:
Lubkov, Roman, Nekrasov, Ilia
In the present paper, we prove the first part in the standard description of groups $H$ lying between $m$-th exterior power of elementary group $E(n,R)$ and the general linear group $GL_{\binom{n}{m}}(R)$. We study structure of the exterior power of
Externí odkaz:
http://arxiv.org/abs/1801.07918
Autor:
Nekrasov, Ilia, Panina, Gaiane
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 simple rules for cup product.
Comment: arXiv admin note: text ove
Comment: arXiv admin note: text ove
Externí odkaz:
http://arxiv.org/abs/1801.00785
Given a flexible $n$-gon with generic side lengths, the moduli space of its configurations in $\mathbb{R}^2$ as well as in $\mathbb{R}^3$ is a smooth manifold. It is equipped with $n$ \textit{tautological} line bundles whose definition is motivated b
Externí odkaz:
http://arxiv.org/abs/1707.04144