2 papers
math.AG2026
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…
math.AG2023
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…