Theta height and Faltings height
PAZUKI, Fabien
Institut de Mathématiques de Bordeaux [IMB]
Université Sciences et Technologies - Bordeaux 1 [UB]
Institut de Mathématiques de Bordeaux [IMB]
Université Sciences et Technologies - Bordeaux 1 [UB]
PAZUKI, Fabien
Institut de Mathématiques de Bordeaux [IMB]
Université Sciences et Technologies - Bordeaux 1 [UB]
< Leer menos
Institut de Mathématiques de Bordeaux [IMB]
Université Sciences et Technologies - Bordeaux 1 [UB]
Idioma
en
Article de revue
Este ítem está publicado en
Bulletin de la société mathématique de France. 2012, vol. 140, n° 1, p. 19-49
Société Mathématique de France
Resumen en inglés
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 ...Leer más >
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.< Leer menos
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