A Deligne pairing for Hermitian Azumaya modules
Algebraic Geometry
2015-01-22 v1
Abstract
In this short note we want to give a definition of a generalized Deligne pairing for modules over an Azumaya algebra on an arithmetic surface . We do this by defining Hermitian metrics on the Azumaya algebra and on the modules in question. Then we go on and define the determinant of the cohomology for a pair of modules over an Azumaya algebra. Using this we give the definition of a generalized Deligne pairing and study some of its properties.
Cite
@article{arxiv.1501.05294,
title = {A Deligne pairing for Hermitian Azumaya modules},
author = {Fabian Reede},
journal= {arXiv preprint arXiv:1501.05294},
year = {2015}
}
Comments
9 pages