Height functions for motives

2017/01/24 by Kato, Kazuya · 2 citations
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1701.07082

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.

Cited by

• Logarithmic geometry and Frobenius, II
• Pencils of projective hypersurfaces, Griffiths heights and geometric invariant theory. I

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