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

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.

38 pages