Nearly overconvergent Siegel modular forms

DOI10.5802/aif.3299zbMath1447.11060OpenAlexW2982545614MaRDI QIDQ2333209

Zheng Liu

Publication date: 12 November 2019

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/aif.3299

zbMATH Keywords

differential operatorsnearly holomorphic Siegel modular formsnearly overconvergent Siegel modular formsoverconvergent families

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Congruences for modular and (p)-adic modular forms (11F33) Moduli, classification: analytic theory; relations with modular forms (14J15) Hecke-Petersson operators, differential operators (several variables) (11F60)

Related Items (5)

Genus two Siegel quasi-modular forms and Gromov-Witten theory of toric Calabi-Yau threefolds ⋮ Higher Ramanujan Equations and Periods of Abelian Varieties ⋮ Non-cuspidal Hida theory for Siegel modular forms and trivial zeros of \(p\)-adic \(L\)-functions ⋮ Higher Hida theory and \(p\)-adic \(L\)-functions for \(\mathrm{GSp}_4\) ⋮ Ordinary families of Klingen Eisenstein series on symplectic groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Classicity of overconvergent modular forms
• \(p\)-adic differential operators on automorphic forms on unitary groups
• Gauss-Manin connections for \(p\)-adic families of nearly overconvergent modular forms
• \(p\)-adic \(L\)-functions for CM fields
• Über die Fourier-Jacobi-Entwicklung Siegelscher Eisensteinreihen. II
• Lowest weight modules of \(\mathrm{Sp}_4 (\mathbb{R})\) and nearly holomorphic Siegel modular forms
• A \(p\)-adic measure attached to the zeta functions associated with two elliptic modular forms. II
• On ordinary \(\lambda\)-adic representations associated to modular forms
• Restrictions and expansions of holomorphic representations
• \(p\)-adic Banach spaces and families of modular forms
• Rigid analytic geometry and its applications
• Non-Archimedean \(L\)-functions and arithmetical Siegel modular forms
• \(p\)-adic measures attached to Siegel modular forms
• Toroidal compactifications of PEL-type Kuga families
• Generalized Heegner cycles and \(p\)-adic Rankin \(L\)-series. With an appendix by Brian Conrad
• Triple product \(p\)-adic \(L\)-functions associated to finite slope \(p\)-adic families of modular forms
• \(p\)-adic families of Siegel modular cuspforms
• On the differentiation of De Rham cohomology classes with respect to parameters
• Structure of representations generated by vectors of highest weight
• Differential operators and families of automorphic forms on unitary groups of arbitrary signature
• Invariant differential operators on Hermitian symmetric spaces
• -ADIC EISENSTEIN SERIES AND -FUNCTIONS OF CERTAIN CUSP FORMS ON DEFINITE UNITARY GROUPS
• A Simple Proof of Rationality of Siegel-Weil Eisenstein Series
• The special values of the zeta functions associated with cusp forms
• COHOMOLOGICAL AUTOMORPHIC FORMS ON UNITARY GROUPS, II: PERIOD RELATIONS AND VALUES OF L-FUNCTIONS
• -ADIC -FUNCTIONS FOR UNITARY GROUPS
• Nearly Overconvergent Modular Forms
• Compactifications of PEL-Type Shimura Varieties and Kuga Families with Ordinary Loci
• La filtration canonique des points de torsion des groupes $p$-divisibles
• L-functions and periods of polarized regular motives.
• Overconvergent Hilbert modular forms

This page was built for publication: Nearly overconvergent Siegel modular forms