On non-Archimedean representations of Abelian varieties

DOI10.1007/BF01428221zbMath0255.14013MaRDI QIDQ2558496

Lothar Gerritzen

Publication date: 1972

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/162262

Mathematics Subject Classification ID

Theta functions and abelian varieties (14K25) Algebraic theory of abelian varieties (14K05) Non-Archimedean analysis (32P05)

Related Items

Homogeneous vector bundles on abelian varieties which are (rigid) analytic tori, Periods and Gauss-Manin connection for families of p-adic Schottky groups, Non-archimedean analytic tori and theta functions, The Schottky-Jung theorem for Mumford curves, Analytical construction of Weil curves over function fields, Construction analytique rigide de variétés abéliennes, Curves which do not become semi-stable after any solvable extension, On holomorphic representations of discrete Heisenberg groups, On the torsion of Drinfeld modules of rank two, Rigid analytic uniformization of curves and the study of isogenies, Unnamed Item, A generalized Mazur’s theorem and its applications, Ultrametric theta functions and abelian varieties, Zur nichtarchimedischen Uniformisierung von Kurven, On analytic models of degenerating abelian varieties, Maximal abelsche Erweiterung von Funktionenkörpern über lokalen Körpern, Selmer groups over \(\mathbb Z_p^d\)-extensions, p-adic automorphic functions, Periode und Index eines prinzipal-homogenen Raumes über gewissen Abelschen Varietäten, Local heights on Mumford curves, p-adic height pairings. I, Nonarchimedean theta functions and the Néron symbol

Cites Work

• Über die Methode der diskret bewerteten Rigne in der nicht- archimedischen Analysis
• Über Endomorphismen nichtarchimedischer holomorpher Tori
• Der Endlichkeitssatz für eigentliche Abbildungen in der nichtarchimedischen Funktionentheorie
• Theorem A und B in der nichtarchimedischen Funktionentheorie
• On multiplication algebras of Riemann matrices
• Rational Points of Abelian Varieties Over Function Fields
• Theta Functions and Abelian Varieties over Valuation Fields of Rank one I