6 citations · 9 across the 4 of their papers we have counts for
4 papers
Contou-Carrère symbol, Deligne pairing and quintets
Denis V. Osipov
We prove the reciprocity laws for a family of projective curves over an affine base scheme, where curves can be singular and reducible, and the base can be non-Noetherian. These re…
Local analog of the Deligne-Riemann-Roch isomorphism for line bundles in relative dimension
D. V. Osipov
We prove a local analog of the Deligne-Riemann-Roch isomorphism in the case of line bundles and relative dimension . This local analog consists in computation of the class of $1…
Central extensions and Riemann-Roch theorem on algebraic surfaces
D. V. Osipov
We study canonical central extensions of the general linear group of the ring of adeles on a smooth projective algebraic surface by means of the group of integers. By these cen…
Harmonic analysis on local fields and adelic spaces II
D. V. Osipov, A. N. Parshin
This paper is the second part of arXiv:0707.1766. We develope harmonic analysis in some categories of filtered abelian groups and vector spaces over the fields R or C. These catego…