Endomorphisms of abelian varieties over finite fields

1966/04/01 by John Tate · 10 citations
Computer Science · Mathematics · #Abelian group #Abelian variety #Advanced Algebra and Geometry #Algebra over a field #Algebraic Geometry and Number Theory #Arithmetic of abelian varieties #Coding theory and cryptography #Discrete mathematics #Elementary abelian group #Endomorphism #Finite field #Mathematics #Pure mathematics #Rank of an abelian group

paper · doi:10.1007/bf01404549

crossref issued 1966/04/01 · crossref published 1966/04/01 · crossref published-print 1966/04/01 · openalex publication_date 1966/04/01 · crossref created 2005/04/12 · crossref deposited 2020/04/06 · openalex created_date 2025/10/10 · crossref indexed 2026/07/29 · openalex updated_date 2026/07/29

Citations

• Die Typen der Multiplikatorenringe elliptischer Funktionenkörper

Cited by

• Algebraic Modelings of the Supersingular Isogeny Problem
• Effective bounds for Brauer groups of Kummer surfaces over number fields
• Computing square-free polarized abelian varieties over finite fields
• Elliptic curves with isomorphic groups of points over finite field extensions
• Isogeny volcanoes
• On a number of isogeny classes of simple abelian varieties over finite fields
• Superspecial abelian varieties over finite prime fields
• Kummer surfaces and the computation of the Picard group
• Tate conjecture [wikipedia]
• Tate module [wikipedia]