Cyclic abelian varieties over finite fields in ordinary isogeny classes

zbMath1484.11137arXiv2001.10874MaRDI QIDQ5164436

Alejandro José Giangreco Maidana

Publication date: 11 November 2021

Full work available at URL: https://arxiv.org/abs/2001.10874

zbMATH Keywords

finite fieldgroup of rational pointsisogeny classcyclicclass of matricesordinary abelian variety

Mathematics Subject Classification ID

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

Uses Software

• LMFDB

Cites Work

• Unnamed Item
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• Cofactor matrices
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• Variétés abeliennes ordinaires sur un corps fini
• A Note on Elliptic Curves Over Finite Fields
• A note on elliptic curves over finite fields
• Principally Polarized Ordinary Abelian Varieties Over Finite Fields
• Computing square-free polarized abelian varieties over finite fields
• Abelian varieties over finite fields
• On a Theorem of Latimer and Macduffee

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