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Hauteur de Faltings et hauteur de Néron–Tate du diviseur thêta

Published online by Cambridge University Press:  24 November 2006

Pascal Autissier
Pascal Autissier
Affiliation:
IRMAR, Université de Rennes I, Campus de Beaulieu, 35042 Rennes cedex, Francepascal.autissier@univ-rennes1.fr
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Abstract

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In this paper we prove a formula relating the Faltings height of an abelian variety $A$ over $\bar{\mathbb{Q}}$ and the Néron–Tate height of a theta divisor on $A$.

Keywords

heightabelian varietyArakelov theorytheta-function14G4011G1014K1511G50
Type
Research Article
Information
Compositio Mathematica , Volume 142 , Issue 6 , November 2006 , pp. 1451 - 1458
Copyright
Foundation Compositio Mathematica 2006