Overconvergent cohomology and quaternionic Darmon points

Xavier Guitart; Marc Masdeu

doi:10.1112/jlms/jdu036

Overconvergent cohomology and quaternionic Darmon points

Xavier Guitart, Marc Masdeu

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

11 Citations (Scopus)

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.

Original language	English
Pages (from-to)	495-524
Number of pages	30
Journal	Journal of the London Mathematical Society
Volume	90
Issue number	2
DOIs	https://doi.org/10.1112/jlms/jdu036
Publication status	Published - 1 Oct 2014

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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.",

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AB - 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.

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Overconvergent cohomology and quaternionic Darmon points

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