Height functions for motives
Number Theory
2017-10-18 v2
Abstract
We define various height functions for motives over number fields. We compare these height functions with classical height functions on algebraic varieties, and also with analogous height functions for variations of Hodge structures on curves over C. These comparisons provide new questions on motives over number fields.
Keywords
Cite
@article{arxiv.1701.07082,
title = {Height functions for motives},
author = {Kazuya Kato},
journal= {arXiv preprint arXiv:1701.07082},
year = {2017}
}