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2019-07-04

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/193425

An automorphic approach to Darmon points

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Abstract

We give archimedean and non-archimedean constructions of Darmon points on modular abelian varieties attached to automorphic forms over arbitrary number fields and possibly non-trivial central character. An effort is made to present a unifying point of view, emphasizing the automorphic nature of the construction.

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https://doi.org/10.48550/arXiv.1709.06929

Subject

Teoria de nombres, Geometria algebraica aritmètica, Funcions L, Grups discontinus

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Number theory, Arithmetical algebraic geometry, L-functions, Discontinuous groups

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Articles publicats en revistes (Matemàtiques i Informàtica)

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GUITART MORALES, Xavier, MASDEU, Marc and MOLINA BLANCO, Santiago. An automorphic approach to Darmon points. Indiana University Mathematics Journal. 2019. Vol. 69, num. 4, pags. 1251-1274. ISSN 0022-2518. [consulted: 11 of October of 2026]. Available at: https://hdl.handle.net/2445/193425

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