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arXiv · 1505.01873

On heights of motives with semistable reduction

Teruhisa Koshikawa
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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.

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Teruhisa Koshikawa. 2015-05-07. On heights of motives with semistable reduction. https://arxiv.org/abs/1505.01873

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