Differentiability of the arithmetic volume function
Algebraic Geometry
2014-02-26 v3 Number Theory
Abstract
We introduce the positive intersection product in Arakelov geometry and prove that the arithmetic volume function is continuously differentiable. As applications, we compute the distribution function of the asymptotic measure of a Hermitian line bundle and several other arithmetic invariants.
Cite
@article{arxiv.0812.2857,
title = {Differentiability of the arithmetic volume function},
author = {Huayi Chen},
journal= {arXiv preprint arXiv:0812.2857},
year = {2014}
}