$p^k$-torsion of genus two curves over $\mathbb {F}_{p^m}$

DOI10.1090/S0025-5718-10-02305-7zbMath1197.14028arXiv0705.3932OpenAlexW1875218449MaRDI QIDQ3584853

Michael E. Zieve

Publication date: 30 August 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.3932

zbMATH Keywords

Jacobianfinite fieldisogeny classabelian surfacesWeil polynomial

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Finite ground fields in algebraic geometry (14G15)

Related Items (1)

Linear relations between polynomial orbits

Uses Software

• Magma

Cites Work

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• Jacobians in isogeny classes of abelian surfaces over finite fields
• The Magma algebra system. I: The user language
• Endomorphisms of Abelian varieties over finite fields
• Isogeny classes of abelian varieties over finite fields
• Abelian varieties over finite fields

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