Experiments with Ceresa classes of cyclic Fermat quotients

DOI10.1090/proc/16178OpenAlexW3217294785MaRDI QIDQ5060340

David Lilienfeldt, Ari Shnidman

Publication date: 10 January 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.00520

Mathematics Subject Classification ID

Complex multiplication and moduli of abelian varieties (11G15) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Higher degree equations; Fermat's equation (11D41) Algebraic cycles (14C25)

Uses Software

• Magma
• SageMath

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the Abel-Jacobi maps of Fermat Jacobians
• C is not algebraically equivalent to \(C^-\) in its Jacobian
• A non-hyperelliptic curve with torsion Ceresa class
• A nontrivial algebraic cycle in the Jacobian variety of the Klein quartic
• Algebraic cycles and values of L-functions. II
• On resolutions of cyclic quotient singularities
• The Magma algebra system. I: The user language
• On modified diagonal cycles in the triple products of Fermat quotients
• Multiplicative Chow-Künneth decompositions and varieties of cohomological \(K3\) type
• Nontrivial algebraic cycles in the Jacobian varieties of some quotients of Fermat curves
• Torsion Points on Abelian Etale Coverings of P 1 - {0, 1, ∞}
• Algebraic cycles and values of L-functions.
• Twists of non-hyperelliptic curves of genus 3
• Simple Factors of the Jacobian of a Fermat Curve and the Picard Number of a Product of Fermat Curves
• Simple Factors in the Jacobian of a Fermat Curve
• Jacobi Sums as "Grossencharaktere"
• On the harmonic volume of Fermat curves
• A Non-Hyperelliptic Curve with Torsion Ceresa Cycle Modulo Algebraic Equivalence

This page was built for publication: Experiments with Ceresa classes of cyclic Fermat quotients