40 citations · 281 across the 31 of their papers we have counts for
30 papers
Relative analytic reciprocity laws
Denis V. Osipov
We study reciprocity laws involving complex line bundles on fibrations in oriented circles. In particularly, we prove the following reciprocity law. Let be a complex manifold a…
Analytic diffeomorphisms of the circle and topological Riemann-Roch theorem for circle fibrations
Denis V. Osipov
We consider the group which is the semidirect product of the group of analytic functions with values in on the circle and the group of analytic diffeom…
Formal Bott-Thurston cocycle and part of a formal Riemann-Roch theorem
D. V. Osipov
The Bott-Thurston cocycle is a -cocycle on the group of orientation-preserving diffeomorphisms of the circle. We introduce and study a formal analog of Bott-Thurston cocycle. Th…
Harmonic analysis on the rank- value group of a two-dimensional local field
D. V. Osipov, A. N. Parshin
In this work we construct harmonic analysis on free Abelian groups of rank , namely: we construct and investigate spaces of functions and distributions, Fourier transforms, acti…
Lax Pairs for Linear Hamiltonian Systems
D. V. Osipov, A. B. Zheglov
In the paper Lax pairs for linear Hamiltonian systems of differential equations are constructed. In particular, Gröbner bases are used for the computations. It is proved that the m…
Arithmetic surfaces and adelic quotient groups
D. V. Osipov
We explicitly calculate an arithmetic adelic quotient group for a locally free sheaf on an arithmetic surface when the fiber over the infinite point of the base is taken into accou…