Lefschetz classes of simple factors of the Jacobian variety of a Fermat curve of prime degree over finite fields

DOI10.1016/j.jnt.2012.09.023zbMath1295.14011arXiv1201.3061OpenAlexW2041760610MaRDI QIDQ1938560

Rin Sugiyama

Publication date: 21 February 2013

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.3061

zbMATH Keywords

Fermat curvealgebraic cycleTate conjecturesimple abelian varietyLefschetz class

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Étale and other Grothendieck topologies and (co)homologies (14F20) Finite ground fields in algebraic geometry (14G15) [https://zbmath.org/classification/?q=cc:11G30 Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Subvarieties of abelian varieties (14K12) Algebraic cycles (14C25)

Related Items

Remark on nondegeneracy of simple abelian varieties with many endomorphisms

Cites Work

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• Lefschetz classes on abelian varieties
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• The Tate conjecture for certain abelian varieties over finite fields
• WEIL NUMBERS GENERATED BY OTHER WEIL NUMBERS AND TORSION FIELDS OF ABELIAN VARIETIES
• Fermat Jacobians of Prime Degree over Finite Fields
• Numbers of solutions of equations in finite fields

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