Title: A refined Beilinson-Bloch conjecture for motives of modular forms
Abstract: We propose a refined version of the Beilinson-Bloch conjecture for the motive associated with a modular form of even weight. This conjecture relates the dimension of the image of the relevant p-adic Abel-Jacobi map to certain combinations of Heegner cycles on Kuga-Sato varieties. We prove theorems in the direction of the conjecture and, in doing so, obtain higher weight analogues of results for elliptic curves due to Darmon.
Publication Year: 2013
Publication Date: 2013-03-18
Language: en
Type: preprint
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Cited By Count: 1
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