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arxiv: 1503.01971 · v2 · pith:CS4URMHKnew · submitted 2015-03-06 · 🧮 math.NT

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

classification 🧮 math.NT
keywords classkolyvaginringassociatedbertoliniboundcharacterchow
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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.

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