On the cyclicity of the rational points group of abelian varieties over finite fields

DOI10.1016/j.ffa.2019.02.005zbMath1481.11064arXiv1806.10842OpenAlexW3098408354MaRDI QIDQ2422159

Alejandro José Giangreco Maidana

Publication date: 18 June 2019

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.10842

zbMATH Keywords

finite fieldabelian varietygroup of rational pointscyclic

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Finite ground fields in algebraic geometry (14G15) Arithmetic ground fields for abelian varieties (14K15)

Related Items (5)

Every finite abelian group is the group of rational points of an ordinary abelian variety over 𝔽₂, 𝔽₃ and 𝔽₅ ⋮ Weil polynomials of abelian varieties over finite fields with many rational points ⋮ Corrigendum to: ``Local cyclicity of isogeny classes of abelian varieties defined over finite fields ⋮ Local cyclicity of isogeny classes of abelian varieties defined over finite fields ⋮ Cyclic abelian varieties over finite fields in ordinary isogeny classes

Uses Software

• ECPP

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