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The action of the Hecke operators on the component groups of modular Jacobian varieties

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Publication:723579
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DOI10.2140/pjm.2018.296.341zbMath1447.11065arXiv1710.06095OpenAlexW3100405817MaRDI QIDQ723579

D. Kharzeev

Publication date: 24 July 2018

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

Full work available at URL: https://arxiv.org/abs/1710.06095

zbMATH Keywords

Hecke operatorscomponent groupHecke actionmodular Jacobian varieties


Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35)


Related Items

The rational torsion subgroup of \(J_0(N)\)



Cites Work

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  • On Eisenstein ideals and the cuspidal group of \(J_{0}(N)\)
  • Modular curves and the Eisenstein ideal
  • On modular representations of \(\text{Gal}(\overline{\mathbb Q}/\mathbb Q)\) arising from modular forms
  • Good reduction of abelian varieties
  • Spécialisation du foncteur de Picard
  • The Arithmetic of Elliptic Curves
  • Arithmetic Moduli of Elliptic Curves. (AM-108)
  • Supersingular elliptic curves, theta series and weight two modular forms
  • Les Schémas de Modules de Courbes Elliptiques
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