Faltings height and Néron–Tate height of a theta divisor

DOI10.1112/S0010437X21007661zbMath1489.11092arXiv1810.02637OpenAlexW4207011800MaRDI QIDQ5037280

Robin de Jong, Farbod Shokrieh

Publication date: 28 February 2022

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.02637

zbMATH Keywords

abelian varietytheta functionNéron-Tate heightBerkovich spacenon-Archimedean uniformizationfaltings heightNéron function

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Abelian varieties of dimension (> 1) (11G10) Theta functions and abelian varieties (14K25) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Global ground fields in algebraic geometry (14G25) Algebraic theory of abelian varieties (14K05)

Related Items

Tropical moments of tropical Jacobians, Jumps in the height of the Ceresa cycle, Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Admissible pairing on a curve
• Calculus on arithmetic surfaces
• Sur des hauteurs alternatives. I. (On alternative heights. I)
• Finiteness theorems for abelian varieties over number fields.
• Degenerating abelian varieties
• Theory of heights. With an appendix by Jürg Kramer: An alternative foundation of the Néron-Tate height
• Non-Archimedean and tropical theta functions
• Intrinsic heights of stable varieties and abelian varieties
• An effective matrix lemma
• Tropical varieties for non-archimedean analytic spaces
• Mahler measures and logarithmic equidistribution
• Period theorem and minimal degrees of isogenies
• The Skeleton of the Jacobian, the Jacobian of the Skeleton, and Lifting Meromorphic Functions From Tropical to Algebraic Curves: Fig. 1.
• Heights and measures on analytic spaces. A survey of recent results, and some remarks
• Néron-Tate heights of cycles on jacobians
• Hauteur de Faltings et hauteur de Néron–Tate du diviseur thêta
• Non-archimedean canonical measures on abelian varieties
• Heights of Projective Varieties and Positive Green Forms
• Décompositions en hauteurs locales
• Harmonic Analysis on Metrized Graphs
• Mesures et équidistribution sur les espaces de Berkovich