Theta height and Faltings height

2012Bulletin de la Société mathématique de FranceMathematics被引 44开放获取

摘要

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 2 under a conjecture of S. Lang and J. Silverman. We complete the study with a comparison between differential lattice structures.

引用本文（GB/T 7714）

Fabien Pazuki. Theta height and Faltings height[J]. Bulletin de la Société mathématique de France, 2012.

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DOI：https://doi.org/10.24033/bsmf.2623

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