Overconvergent cohomology and quaternionic Darmon points

Abstract

We develop the (co)homological tools that make effective the construction of the quaternionic Darmon points introduced by Matthew Greenberg. In addition, we use the overconvergent cohomology techniques of Pollack--Pollack to allow for the efficient calculation of such points. Finally, we provide the first numerical evidence supporting the conjectures on their rationality.

Fixed some minor typos, added authors' affiliation

Cited by in corpus (4)

• Darmon points on elliptic curves over number fields of arbitrary signature
• Parabolic eigenvarieties via overconvergent cohomology
• Stark-Heegner cycles attached to Bianchi modular forms
• Lifting non-ordinary cohomology classes for SL(3)