Torsion properties of modified diagonal classes on triple products of modular curves

DOI10.4153/S000843952200011XMaRDI QIDQ5882697

David Lilienfeldt

Publication date: 17 March 2023

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.14727

zbMATH Keywords

algebraic cyclestriple product \(L\)-functiondiagonal cyclecomplex Abel-Jacobi map

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Arithmetic aspects of modular and Shimura varieties (11G18) Algebraic cycles (14C25)

Cites Work

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• Correspondances modulaires et les fonctions \(\zeta\) de courbes algébriques
• Arithmetic of Shimura curves
• Endomorphisms of Jacobians of modular curves
• Heegner points and derivatives of \(L\)-series
• Mixed motives and algebraic K-theory. (Almost unchanged version of the author's habilitation at Univ. Regensburg 1988)
• Endomorphisms of semi-stable Abelian varieties over number fields
• Rational isogenies of prime degree. (With an appendix by D. Goldfeld)
• Modular curves and the Eisenstein ideal
• Arithmetic of Weil curves
• The modified diagonal cycle on the triple product of a pointed curve
• Hecke operators on \(\Gamma_0(m)\)
• Algebraic cycles and values of L-functions.
• Les Constantes des Equations Fonctionnelles des Fonctions L
• On the Modular Curves X ₀ (125), X ₁ (25), X ₁ (49)
• Elliptic Curves of Prime Conductor
• Chow–Heegner Points on CM Elliptic Curves and Values of p-adic L-functions
• Algorithms for Chow-Heegner points via iterated integrals

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