English

Overconvergent cohomology and quaternionic Darmon points

Number Theory 2017-05-17 v3

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.

Cite

@article{arxiv.1307.2556,
  title  = {Overconvergent cohomology and quaternionic Darmon points},
  author = {Xavier Guitart and Marc Masdeu},
  journal= {arXiv preprint arXiv:1307.2556},
  year   = {2017}
}

Comments

Fixed some minor typos, added authors' affiliation

R2 v1 2026-06-22T00:48:28.292Z