D\'ecompositions en hauteurs locales
classification
🧮 math.NT
keywords
heightabelianbogomolovcurvedecompositiondefineddimensionecompositions
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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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