13 citations · 23 across the 9 of their papers we have counts for
11 papers
Upper Bounds on the Torsion Index of Half-Spin Groups
Sanghoon Baek, Rostislav Devyatov
The torsion index of split simple groups has been extensively studied, notably by Totaro, who calculated the torsion indexes of the spin groups and in [5] and [6], respecti…
Counter-examples to a conjecture of Karpenko for spin groups
Sanghoon Baek, Rostislav Devyatov
Consider the canonical morphism from the Chow ring of a smooth variety to the associated graded ring of the topological filtration on the Grothendieck ring of . In general,…
An estimate of canonical dimension of groups based on Schubert calculus
Rostislav Devyatov
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 connecti…
Multiplicity-free products of Schubert divisors
Rostislav Devyatov
Let be a flag variety over an arbitrary field, where is a semisimple split algebraic group with a simply laced Dynkin diagram, and is a Borel subgroup. We say that th…
Oriented cohomology sheaves on double moment graphs
Rostislav Devyatov, Martina Lanini, Kirill Zainoulline
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…
The K-theory of versal flags and cohomological invariants of degree 3
Sanghoon Baek, Rostislav Devyatov, Kirill Zainoulline
Let be a split semisimple linear algebraic group over a field and let be a generic twisted flag variety of . Extending the Hilbert basis techniques to Laurent polynomial…
On Subword Complexity of Morphic Sequences
Rostislav Devyatov
We study structure of pure morphic and morphic sequences and prove the following result: the subword complexity of arbitrary morphic sequence is either for some $k\i…
Equivariant deformations of algebraic varieties with an action of an algebraic torus of complexity 1
Rostislav Devyatov
Let be a 3-dimensional affine variety with a faithful action of a 2-dimensional torus . Then the space of first order infinitesimal deformations is graded by the ch…
Unipotent commutative group actions on flag varieties and nilpotent multiplications
Rostislav Devyatov
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 c…
Generically transitive actions on multiple flag varieties
Rostislav Devyatov
Let be a semisimple algebraic group whose decomposition into a product of simple components does not contain simple groups of type , and be a parabolic subgro…
Several examples of neigbourly polyhedra in co-dimension 4
Rostislav Devyatov
In the article, a series of neigbourly polyhedra is constructed. They have vertices and are embedded in . Their (affine) Gale diagrams in hav…