Hostname: page-component-78c5997874-mlc7c Total loading time: 0 Render date: 2024-11-04T19:00:11.488Z Has data issue: false hasContentIssue false
  • English
  • Français

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, [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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