8 citations · 20 across the 10 of their papers we have counts for
10 papers
Shafarevich-Tate groups of holomorphic Lagrangian fibrations
Anna Abasheva, Vasily Rogov
Consider a Lagrangian fibration on a hyperkähler manifold . There are two ways to construct a holomorphic family of deformations of over $\mathbb…
Non-algebraic deformations of flat Kähler manifolds
Vasily Rogov
Let be a compact Kähler manifold with vanishing Riemann curvature. We prove that there exists a manifold , deformation equivalent to , which is not an analytification of…
Kähler submanifolds in Iwasawa manifolds
Vasily Rogov
Iwasawa manifold is a compact complex homogeneous manifold isomorphic to a quotient of the group of complex unipotent matrices by a cocompact lattice. We prove that an…
The asymptotic behavior of q-exponentials and q-Bessel functions
V. -B. K. Rogov
The connections between q-Bessel functions of three types and q-exponential of three types are established. The q-exponentials and the q-Bessel functions are represented as the Lau…
Poisson formula for a family of non-commutative Lobachevsky spaces
M. Olshanetsky, V. Rogov
We define an analog of the Poisson integral formula for a family of the non-commutative Lobachevsky spaces. The -Fourier transform of the Poisson kernel is expressed through the…
Unitary Representations of Quantum Lorentz Group and Quantum Relativistic Toda Chain
M. A. Olshanetsky, V. -B. K. Rogov
The aim of this paper is to give a group theoretical interpretation of the three types of Bessel-Jackson functions. We consider a family of quantum Lorentz groups and a family of q…