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.

A refined Beilinson-Bloch conjecture for motives of modular forms

VIGNI, STEFANO
2017-01-01

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11567/874916
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