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2014-07-26

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/195264

Overconvergent cohomology and quaternionic Darmon points.

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https://doi.org/10.1112/jlms/jdu036

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.

Subject

Teoria de nombres, Formes automorfes, Grups modulars, Geometria algebraica aritmètica

Subject (English)

Number theory, Automorphic forms, Modular groups, Arithmetical algebraic geometry

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Articles publicats en revistes (Matemàtiques i Informàtica)

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GUITART MORALES, Xavier and MASDEU, Marc. Overconvergent cohomology and quaternionic Darmon points. Journal of the London Mathematical Society-Second Series. 2014. Vol. 90, num. 2, pags. 495-524. ISSN 0024-6107. [consulted: 6 of June of 2026]. Available at: https://hdl.handle.net/2445/195264

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