Grothendieck–Serre Duality and Theta-Invariants on Arithmetic Surfaces

D. V. Osipov

doi:10.1134/S1064562419040197

Grothendieck–Serre Duality and Theta-Invariants on Arithmetic Surfaces

Authors: Osipov D.V.¹
Affiliations:
1. Steklov Mathematical Institute of Russsian Academy of Sciences
Issue: Vol 100, No 1 (2019)
Pages: 385-388
Section: Mathematics
URL: https://journals.rcsi.science/1064-5624/article/view/225702
DOI: https://doi.org/10.1134/S1064562419040197
ID: 225702

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Abstract

In the paper, a description of the Grothendieck–Serre duality on an arithmetic surface by means of fixing a horizontal divisor is given and this description is applied to the generalization of theta-invariants.

About the authors

D. V. Osipov

Steklov Mathematical Institute of Russsian Academy
of Sciences

Author for correspondence.
Email: d_osipov@mi-ras.ru
Russian Federation, Moscow

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