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arxiv: 1701.07082 · v2 · pith:6WQ23D3Gnew · submitted 2017-01-24 · 🧮 math.NT

Height functions for motives

classification 🧮 math.NT
keywords functionsheightmotivesfieldsnumberalgebraicanalogousclassical
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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.

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