On heights of motives with semistable reduction
Number Theory
2015-06-19 v3 Algebraic Geometry
Abstract
We study heights of motives with integral coefficients over number fields introduced by Kato. It is a generalization of the Faltings height of an abelian variety and we establish generalizations of some properties of the Faltings height in our context as conjectured by Kato. This sheds some light on integral structures of motives.
Keywords
Cite
@article{arxiv.1505.01873,
title = {On heights of motives with semistable reduction},
author = {Teruhisa Koshikawa},
journal= {arXiv preprint arXiv:1505.01873},
year = {2015}
}