Hilbert modular forms modulo \(p^m\): The unramified case
From MaRDI portal
Publication:5950945
DOI10.1006/jnth.2001.2660zbMath0992.11035OpenAlexW2056860930MaRDI QIDQ5950945
Publication date: 2 January 2002
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jnth.2001.2660
Congruences for modular and (p)-adic modular forms (11F33) Zeta functions and (L)-functions of number fields (11R42) Modular and Shimura varieties (14G35) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)
Related Items
A theta operator on Picard modular forms modulo an inert prime ⋮ On Hilbert modular forms modulo \(p\): explicit ring structure ⋮ GEOMETRIC WEIGHT-SHIFTING OPERATORS ON HILBERT MODULAR FORMS IN CHARACTERISTIC p ⋮ Hasse invariants for Hilbert modular varieties ⋮ Theta operators on unitary Shimura varieties
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- \(p\)-adic \(L\)-functions for CM fields
- Values of abelian \(L\)-functions at negative integers over totally real fields
- Higher congruences between modular forms
- Appendix to ``The Iwasawa conjecture for totally real fields by A.Wiles: Arithmetic minimal compactification of the Hilbert-Blumenthal moduli spaces
- A tameness criterion for Galois representations associated to modular forms (mod \(p\))
- Every ordinary symplectic isogeny class in positive characteristic is dense in the moduli
- Schémas en groupes. II: Groupes de type multiplicatif, et structure des schémas en groupes généraux. Exposés VIII à XVIII. Séminaire de Géométrie Algébrique du Bois Marie 1962/64 (SGA 3) dirigé par Michel Demazure et Alexander Grothendieck. Revised reprint
- On the reduction of the Hilbert-Blumenthal-moduli schem with Г0 (p)-level structure
- On values of L-functions of totally real algebraic number fields at integers
- Hasse invariants for Hilbert modular varieties