Abelian surfaces over finite fields with prescribed groups

DOI10.1112/blms/bdu033zbMath1369.11043arXiv1307.0863OpenAlexW2964049967WikidataQ101242268 ScholiaQ101242268MaRDI QIDQ5495349

Zachary Scherr, Lola Thompson, Derek Garton, Arul Shankar, Ethan Smith, Chantal David

Publication date: 4 August 2014

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

Full work available at URL: https://arxiv.org/abs/1307.0863

zbMATH Keywords

finite fieldrational pointabelian groupabelian surface

Mathematics Subject Classification ID

Rational points (14G05) Abelian varieties of dimension (> 1) (11G10) Finite ground fields in algebraic geometry (14G15) Varieties over finite and local fields (11G25)

Related Items

Every finite abelian group is the group of rational points of an ordinary abelian variety over 𝔽₂, 𝔽₃ and 𝔽₅ ⋮ On the cyclicity of the rational points group of abelian varieties over finite fields

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The groups of points on abelian varieties over finite fields
• The structure of the rational point groups of simple abelian varieties of dimension two over finite fields
• On supersingular abelian varieties of dimension two over finite fields
• The global Cohen-Lenstra heuristic
• On Group Structures Realized by Elliptic Curves over Arbitrary Finite Fields
• A Note on Elliptic Curves Over Finite Fields
• Automorphisms of Finite Abelian Groups
• The groups of points on abelian surfaces over finite fields
• Abelian varieties over finite fields