32 citations · 38 across the 10 of their papers we have counts for
10 papers
Partial fraction decompositions, and semilinear representations of infinite symmetric groups
M. Rovinsky
Let be a non-trivial regular field extension, be an infinite (discrete) set, be the group of all permutations of endowed with the compact-open topology, be th…
0-cycles on Grassmannians as representations of projective groups
R. Bezrukavnikov, M. Rovinsky
Let be an infinite division ring, be a left -vector space, be an integer. We study the structure of the representation of the linear group in th…
Homomorphisms of multiplicative groups of fields preserving algebraic dependence
Fedor Bogomolov, Marat Rovinsky, Yuri Tschinkel
We study homomorphisms of multiplicative groups of fields preserving algebraic dependence and show that such homomorphisms give rise to valuations.
An analogue of Hilbert's Theorem 90 for infinite symmetric groups
M. Rovinsky
Let be a field and be a group of its automorphisms. If is precompact then is a generator of the category of smooth (i.e. with open stabilizers) -semilinear repre…
Collineation group as a subgroup of the symmetric group
Fedor Bogomolov, Marat Rovinsky
Let be the projectivization (i.e., the set of one-dimensional vector subspaces) of a vector space of dimension over a field. Let be a closed (in the pointwise conve…
Stable birational invariants with Galois descent and differential forms
M. Rovinsky
I show that the cohomology of the generic points of algebraic complex varieties becomes {\sl stable} birational invariant, when considered `modulo the cohomology of the generic poi…