On rigid analytic uniformizations of Jacobians of Shimura curves

DOI10.1353/ajm.2012.0033zbMath1294.11099arXiv0910.3391OpenAlexW2009099670MaRDI QIDQ3165204

Stefano Vigni, Matteo Longo, Victor Rotger

Publication date: 26 October 2012

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.3391

zbMATH Keywords

Shimura curvesrigid analytic uniformizationStark-Heegner points

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) Varieties over global fields (11G35)

Related Items (15)

\(p\)-adic families of modular forms and \(p\)-adic Abel-Jacobi maps ⋮ Overconvergent cohomology and quaternionic Darmon points ⋮ Big principal series, -adic families and -invariants ⋮ Darmon points on elliptic curves over number fields of arbitrary signature ⋮ Kohnen’s formula and a conjecture of Darmon and Tornaría ⋮ Uniformization of modular elliptic curves via \(p\)-adic periods ⋮ Unnamed Item ⋮ Almost totally complex points on elliptic curves ⋮ Rationality of Darmon points over genus fields of non-maximal orders ⋮ Exceptional zero formulae for anticyclotomic \(p\)-adic \(L\)-functions of elliptic curves in the ramified case ⋮ Periods of Modular GL₂-type Abelian Varieties and p-adic Integration ⋮ Stark–Heegner cycles attached to Bianchi modular forms ⋮ Anticyclotomic 𝑝-adic 𝐿-functions and the exceptional zero phenomenon ⋮ Computing 𝑝-adic periods of abelian varieties from automorphic forms ⋮ Hida theory for special orders

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