Diophantine Approximation on Abelian Varieties

1991/05/01 by Герд Фалтингс, Gerd Faltings · 6 citations
Computer Science · Mathematics · #Abelian group #Algebraic Geometry and Number Theory #Arithmetic of abelian varieties #Diophantine approximation #Diophantine equation #Diophantine set #Elementary abelian group #Mathematical Dynamics and Fractals #Mathematics #Pure mathematics #Rank of an abelian group #Topological and Geometric Data Analysis

paper · doi:10.2307/2944319

crossref issued 1991/05/01 · crossref published 1991/05/01 · crossref published-print 1991/05/01 · openalex publication_date 1991/05/01 · crossref created 2006/04/24 · crossref deposited 2018/04/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/14 · crossref indexed 2026/08/03

Citations

• Ample Subvarieties of Algebraic Varieties
• Siegel's Theorem in the Compact Case

Cited by

• The ABC Conjecture Implies Vojta's Height Inequality for Curves
• Schubert polynomials and Arakelov theory of symplectic flag varieties
• Relations de dépendance et intersections exceptionnelles (Dependence relations and exceptional intersections)
• Arakelov theory [wikipedia]
• Faltings' theorem [wikipedia]
• Height function [wikipedia]