On the concavity of the arithmetic volumes
Algebraic Geometry
2014-08-15 v3
Abstract
In this note, we study the differentiability of the arithmetic volumes along arithmetic R-divisors, and give some equality conditions for the Brunn-Minkowski inequality for arithmetic volumes over the cone of nef and big arithmetic R-divisors.
Cite
@article{arxiv.1310.8424,
title = {On the concavity of the arithmetic volumes},
author = {Hideaki Ikoma},
journal= {arXiv preprint arXiv:1310.8424},
year = {2014}
}
Comments
35 pages