The theta invariants and the volume function on arithmetic varieties
Algebraic Geometry
2022-02-22 v1 Number Theory
Abstract
We introduce a new arithmetic invariant for hermitian line bundles on an arithmetic variety. We use this invariant to measure the variation of the volume function with respect to the metric. The main result of this paper is a generalized Hodge index theorem on arithmetic toric varieties.
Cite
@article{arxiv.2202.09397,
title = {The theta invariants and the volume function on arithmetic varieties},
author = {Mounir Hajli},
journal= {arXiv preprint arXiv:2202.09397},
year = {2022}
}