p-adic modular forms of non-integral weight over Shimura curves
From MaRDI portal
Publication:4904424
DOI10.1112/S0010437X12000449zbMath1305.11050arXiv1106.2712MaRDI QIDQ4904424
Publication date: 29 January 2013
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1106.2712
(p)-adic theory, local fields (11F85) Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35)
Related Items
Finite slope triple product \(p\)-adic \(L\)-functions over totally real number fields ⋮ Differential modular forms on Shimura curves over totally real fields ⋮ Overconvergent Eichler–Shimura isomorphisms for quaternionic modular forms over ℚ ⋮ The Jacquet–Langlands correspondence for overconvergent Hilbert modular forms ⋮ \(p\)-adic families of Siegel modular cuspforms ⋮ QUATERNIONIC MODULAR FORMS OF ANY WEIGHT ⋮ Overconvergent Eichler-Shimura isomorphisms for unitary Shimura curves over totally real fields ⋮ Familles de formes modulaires de Drinfeld pour le groupe général linéaire ⋮ The canonical filtration of \(p\)-divisible \({{\mathcal{O}}}\)-modules ⋮ Families of coherent PEL automorphic forms
Cites Work
- Critical \(p\)-adic \(L\)-functions
- Completely continuous endomorphisms of \(p\)-adic Banach spaces
- The canonical subgroup of \(E\) is \(\operatorname{Spec} R[x/ (x^p+ \frac{p}{E_{p-1}(E,\omega)} x)\)]
- Galois representations into \(\text{GL}_2(\mathbb Z_pX)\) attached to ordinary cusp forms.
- Hodge-Tate structures and modular forms
- \(p\)-adic Banach spaces and families of modular forms
- Classical and overconvergent modular forms of higher level
- Application of the Hodge-Tate dual of a Lubin-Tate group, Bruhat-Tits building of the linear group and ramification filtrations
- Schémas en groupes de type $(p,\ldots,p)$
- $\mathcal P$-adic modular forms over Shimura curves over totally real fields
