English

Height of motives

Number Theory 2013-06-25 v1

Abstract

We define the height of a motive over a number field. We show that if we assume the finiteness of motives of bounded height, Tate conjecture for the pp-adic Tate module can be proved for motives with good reduction at pp.

Keywords

Cite

@article{arxiv.1306.5691,
  title  = {Height of motives},
  author = {Kazuya Kato},
  journal= {arXiv preprint arXiv:1306.5691},
  year   = {2013}
}

Comments

7 pages

R2 v1 2026-06-22T00:39:23.094Z