Open AccessGrothendieck-Serre duality and theta-invariants on arithmetic surfaces
Author(s) -
Denis Vasilievich Osipov
Publication year - 2019
Publication title -
доклады академии наук
Language(s) - English
Resource type - Journals
ISSN - 0869-5652
DOI - 10.31857/s0869-56524876617-621
Subject(s) - mathematics , generalization , divisor (algebraic geometry) , duality (order theory) , pure mathematics , arithmetic , algebra over a field , mathematical analysis
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.
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