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arXiv · 1205.4525

D\'ecompositions en hauteurs locales

Fabien Pazuki
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Abstract

Let A be the jacobian variety of a hyperelliptic curve defined over a number field k. We provide a decomposition formula for the Faltings height of A and for the N\'eron-Tate height of k-rational points on A. We formulate a question of Bogomolov type on the space of principally polarized abelian varieties of dimension g.

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Fabien Pazuki. 2012-05-21. D\'ecompositions en hauteurs locales. https://arxiv.org/abs/1205.4525

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