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

2015/03/06 by Yara Elias, Elias, Yara
Mathematics · #(Secondary) 11Rxx #11-XX (Primary) #11R99 #11Sxx 11S99 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1503.01971

openalex publication_date 2015/03/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We use an Euler system of Heegner cycles to bound the Selmer group associated to a modular form of higher even weight twisted by a ring class character. This is an extension of Nekovar's result that uses Bertolini and Darmon's refinement of Kolyvagin's ideas.

Related

• CM cycles on Kuga-Sato varieties over Shimura curves and Selmer groups
• On the Selmer group attached to a modular form and an algebraic Hecke character
• On the structure of Selmer and Shafarevich-Tate groups of higher weight modular forms
• Ultra-Kolyvagin systems and non-ordinary Selmer groups
• Refined applications of Kato's Euler systems for modular forms