A NOTE ON CONTROL THEOREMS FOR QUATERNIONIC HIDA FAMILIES OF MODULAR FORMS

DOI10.1142/S1793042112500856zbMath1401.11096arXiv1110.1977OpenAlexW2963248191MaRDI QIDQ2907091

Matteo Longo, Stefano Vigni

Publication date: 6 September 2012

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.1977

zbMATH Keywords

quaternion algebrasHida familiescontrol theorems

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (3)

Big Heegner points and special values of \(L\)-series ⋮ Generalized Heegner cycles on Mumford curves ⋮ Hida theory for special orders

Cites Work

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• Quaternion algebras, Heegner points and the arithmetic of Hida families
• Hida families and rational points on elliptic curves
• Galois representations into \(\text{GL}_2(\mathbb Z_pX)\) attached to ordinary cusp forms.
• Modular forms in characteristic \(\ell\) and special values of their \(L\)-functions
• On p-adic Hecke algebras for \(GL_ 2\) over totally real fields
• Non-optimal levels of \(\text{mod }l\) modular representations
• \(p\)-adic Banach spaces and families of modular forms
• A \(p\)-adic Jacquet-Langlands correspondence
• \(p\)-adic \(L\)-functions and \(p\)-adic periods of modular forms
• On the cohomology groups attached to certain vector valued differential forms on the product of the upper half planes
• Classical and overconvergent modular forms

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