Kolyvagin's method for Chow groups of Kuga-Sato varieties over ring class fields

DOI10.1007/s40316-015-0032-8zbMath1398.11101arXiv1503.01971OpenAlexW2963229649MaRDI QIDQ891809

Yara Elias

Publication date: 17 November 2015

Published in: Annales Mathématiques du Québec (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.01971

zbMATH Keywords

modular formsGalois representationsEuler system\(p\)-adic Abel-Jacobi mapHeegner cyclesSelmer group

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) (Equivariant) Chow groups and rings; motives (14C15)

Related Items (2)

On the Selmer group attached to a modular form and an algebraic Hecke character ⋮ On the structure of Selmer and Shafarevich–Tate groups of even weight modular forms

Cites Work

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• Kolyvagin's method for Chow groups and Kuga-Sato varieties
• Heights for local systems on curves
• Heegner points and derivatives of \(L\)-series
• Continuous étale cohomology
• Motives for modular forms
• Generalized Heegner cycles and \(p\)-adic Rankin \(L\)-series. With an appendix by Brian Conrad
• Kolyvagin's descent and Mordell-Weil groups over ring class fields.
• Chow–Heegner Points on CM Elliptic Curves and Values of p-adic L-functions

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