Reduction of abelian varieties and curves

DOI10.4134/jkms.j230367MaRDI QIDQ6545081

Aharon Razon, Moshe Jarden

Publication date: 29 May 2024

Published in: Journal of the Korean Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

reductionabelian varietymoduli spaceisotriviality

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Arithmetic ground fields for curves (14H25) Families, moduli of curves (algebraic) (14H10) Analytic theory of abelian varieties; abelian integrals and differentials (14K20) Arithmetic ground fields for abelian varieties (14K15) Algebraic theory of abelian varieties (14K05) Elliptic curves over local fields (11G07)

Cites Work

• On stable fields in positive characteristic
• Fields of definition for homomorphisms of abelian varieties
• Chow's \(K/k\)-image and \(K/k\)-trace, and the Lang-Néron theorem
• Good reduction of abelian varieties
• The irreducibility of the space of curves of a given genus
• Lectures on the theory of algebraic functions of one variable
• Equivalence relations on algebraic curves
• Rational Points on Varieties
• Field Arithmetic
• Néron Models
• Geometric Invariant Theory
• Non-simple abelian varieties in a family: geometric and analytic approaches
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Reduction of abelian varieties and curves