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arXiv · 0907.1458

Theta height and Faltings height

F. Pazuki
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Abstract

Using original ideas from J.-B. Bost and S. David, we provide an explicit comparison between the Theta height and the stable Faltings height of a principally polarized abelian variety. We also give as an application an explicit upper bound on the number of K-rational points of a curve of genus g>1 over a number filed K under a conjecture of S. Lang and J. Silverman. We complete the study with a comparison between differential lattice structures.

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F. Pazuki. 2009-07-09. Theta height and Faltings height. https://arxiv.org/abs/0907.1458

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