Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Devyatov, Rostislav"'
Autor:
Baek, Sanghoon, Devyatov, Rostislav
Consider the canonical morphism from the Chow ring of a smooth variety $X$ to the associated graded ring of the topological filtration on the Grothendieck ring of $X$. In general, this morphism is not injective. However, Nikita Karpenko conjectured t
Externí odkaz:
http://arxiv.org/abs/2304.10929
Autor:
Devyatov, Rostislav
We sketch the proof of a connection between the canonical (0-)dimension of semisimple split simply connected groups and cohomology of their full flag varieties. Using this connection, we get a new estimate of the canonical (0-)dimension of simply con
Externí odkaz:
http://arxiv.org/abs/2011.00950
Autor:
Devyatov, Rostislav
Let $G/B$ be a flag variety over $\mathbb C$, where $G$ is a simple algebraic group with a simply laced Dynkin diagram, and $B$ is a Borel subgroup. We say that the product of classes of Schubert divisors in the Chow ring is multiplicity free if it i
Externí odkaz:
http://arxiv.org/abs/1711.02058
In the present paper we extend the theory of sheaves on moment graphs due to Braden-MacPherson and Fiebig to the context of an arbitrary oriented equivariant cohomology h (e.g. to algebraic cobordism). We introduce and investigate structure h-sheaves
Externí odkaz:
http://arxiv.org/abs/1710.10275
Publikováno v:
Documenta Math. 22, (2017), 1117--1148
Let $G$ be a split semisimple linear algebraic group over a field and let $X$ be a generic twisted flag variety of $G$. Extending the Hilbert basis techniques to Laurent polynomials over integers we give an explicit presentation of the Grothendieck r
Externí odkaz:
http://arxiv.org/abs/1612.07278
Autor:
Devyatov, Rostislav
We study structure of pure morphic and morphic sequences and prove the following result: the subword complexity of arbitrary morphic sequence is either $\Theta(n^{1+1/k})$ for some $k\in\mathbb N$, or is $O(n \log n)$.
Comment: 61 pages, 5 figur
Comment: 61 pages, 5 figur
Externí odkaz:
http://arxiv.org/abs/1502.02310
Equivariant deformations of algebraic varieties with an action of an algebraic torus of complexity 1
Autor:
Devyatov, Rostislav
Let $X$ be a 3-dimensional affine variety with a faithful action of a 2-dimensional torus $T$. Then the space of first order infinitesimal deformations $T^1(X)$ is graded by the characters of $T$, and the zeroth graded component $T^1(X)_0$ consists o
Externí odkaz:
http://arxiv.org/abs/1406.7736
Autor:
Devyatov, Rostislav
Publikováno v:
Rostislav Devyatov, Unipotent commutative group actions on flag varieties and nilpotent multiplications, Transformation Groups 20:1 (2015), pp. 21-64
Our goal is to classify all generically transitive actions of commutative unipotent groups on flag varieties up to conjugation. We establish relationship between this problem and classification of multiplications with certain properties on Lie algebr
Externí odkaz:
http://arxiv.org/abs/1309.3480
Autor:
Devyatov, Rostislav
Publikováno v:
Rostislav Devyatov, Generically Transitive Actions on Multiple Flag Varieties, Int. Mat. Res. Not. 2014:11 (2014), pp. 2972-2989
Let $G$ be a semisimple algebraic group whose decomposition into a product of simple components does not contain simple groups of type $A$, and $P\subseteq G$ be a parabolic subgroup. Extending the results of Popov [7], we enumerate all triples $(G,
Externí odkaz:
http://arxiv.org/abs/1007.1353
Autor:
Devyatov, Rostislav
Publikováno v:
Devyatov, R. A., Neighbourly polytopes with few vertices (in Russian), Matematicheskii Sbornik 202:10 (2011), pp. 31-54. English transl.: Sbornik: Mathematics 202:10 (2011), pp. 1441-1462
In the article, a series of neigbourly polyhedra is constructed. They have $N=2d+4$ vertices and are embedded in $\mathbb R^{2d}$. Their (affine) Gale diagrams in $\mathbb R^2$ have $d+3$ black points that form a convex polygon. These Gale diagams ca
Externí odkaz:
http://arxiv.org/abs/0902.1435