CM cycles on Kuga-Sato varieties over Shimura curves and Selmer groups

DOI10.1515/forum-2017-0008zbMath1445.11051arXiv1610.09627OpenAlexW2969999529MaRDI QIDQ1743444

Carlos de Vera-Piquero, Yara Elias

Publication date: 13 April 2018

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.09627

zbMATH Keywords

modular formsSelmer groupsGalois representationsHeegner cycles

Mathematics Subject Classification ID

Galois representations (11F80) Arithmetic aspects of modular and Shimura varieties (11G18) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Galois cohomology (11R34)

Related Items (3)

INDIVISIBILITY OF HEEGNER CYCLES OVER SHIMURA CURVES AND SELMER GROUPS ⋮ On the structure of Selmer and Shafarevich–Tate groups of even weight modular forms ⋮ Generalized Heegner cycles and p-adic L-functions in a quaternionic setting

Cites Work

• \(p\)-adic heights of generalized Heegner cycles
• \(p\)-adic heights of Heegner points on Shimura curves
• Kolyvagin's method for Chow groups and Kuga-Sato varieties
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• Continuous étale cohomology
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• Motives for modular forms
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• The Gross-Zagier Formula on Shimura Curves
• Shimura Curves and Special Values of p-adic L-functions
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• Heegner points on Mumford-Tate curves
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