The Rationality of Quaternionic Darmon Points Over Genus Fields of Real Quadratic Fields

DOI10.1093/imrn/rnt048zbMath1312.11052arXiv1105.3721OpenAlexW2964221763MaRDI QIDQ2878738

Stefano Vigni, Matteo Longo

Publication date: 5 September 2014

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.3721

zbMATH Keywords

Shimura curverationalitygenus fieldDarmon points

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) Arithmetic aspects of modular and Shimura varieties (11G18)

Related Items (9)

\(p\)-adic families of modular forms and \(p\)-adic Abel-Jacobi maps ⋮ Modular \(p\)-adic \(L\)-functions attached to real quadratic fields and arithmetic applications ⋮ \(\Lambda\)-adic families of Jacobi forms ⋮ Kohnen’s formula and a conjecture of Darmon and Tornaría ⋮ Generalized Heegner cycles on Mumford curves ⋮ Unnamed Item ⋮ Almost totally complex points on elliptic curves ⋮ Rationality of Darmon points over genus fields of non-maximal orders ⋮ The \(p\)-adic variation of the Gross-Kohnen-Zagier theorem

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