ON A PROPERNESS OF THE HILBERT EIGENVARIETY AT INTEGRAL WEIGHTS: THE CASE OF QUADRATIC RESIDUE FIELDS

DOI10.1017/s147474802200010xarXiv1601.00775OpenAlexW2227092782MaRDI QIDQ6076536

Shin Hattori

Publication date: 17 October 2023

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.00775

zbMATH Keywords

Hilbert modular varietieseigenvarietiesoverconvergent Hilbert modular forms

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items

On canonical subgroups of Hilbert–Blumenthal abelian varieties

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
• On the eigencurve at classical weight 1 points
• The eigencurve is proper
• Classicality of overconvergent Hilbert eigenforms: case of quadratic residue degrees
• Galois representations and torsion in the coherent cohomology of Hilbert modular varieties
• Nonsmooth classical points on eigenvarieties
• Modular curves and rigid-analytic spaces
• The Coleman-Mazur eigencurve is proper at integral weights
• Galois representations into \(\text{GL}_2(\mathbb Z_pX)\) attached to ordinary cusp forms.
• The special values of the zeta functions associated with Hilbert modular forms
• Irreducible components of rigid spaces
• Overconvergent modular forms and the Fontaine-Mazur conjecture
• Rigid analytic geometry and its applications
• Der Satz von Remmert-Stein in der nichtarchimedischen Funktionentheorie
• Formal and rigid geometry. IV: The reduced fibre theorem
• Crystalline Dieudonné module theory via formal and rigid geometry
• \(p\)-adic families of Siegel modular cuspforms
• The 2-adic eigencurve is proper
• On lower ramification subgroups and canonical subgroups
• Lectures on Hilbert Modular Varieties and Modular Forms
• Formes modulaires de poids $1$
• On the reduction of the Hilbert-Blumenthal-moduli schem with Г0 (p)-level structure
• Hilbert modular forms: mod 𝑝 and 𝑝-adic aspects
• On canonical subgroups of Hilbert–Blumenthal abelian varieties
• LISSITÉ DE LA COURBE DE HECKE DE $\mathrm{GL}_2$ AUX POINTS EISENSTEIN CRITIQUES
• Canonical subgroups over Hilbert modular varieties