Introduction to Shimura varieties with bad reduction of parahoric type

TJ Haines - arXiv preprint math/0409482, 2004 - arxiv.org
arXiv:math/0409482v1 [math.AG] 24 Sep 2004 Page 1 arXiv:math/0409482v1 [math.AG] 24 Sep
2004 Introduction to Shimura varieties with bad reduction of parahoric type Thomas J. Haines 1 …

Borcherds products and arithmetic intersection theory on Hilbert modular surfaces

JH Bruinier, JI Burgos Gil, U Kühn - 2007 - projecteuclid.org
We prove an arithmetic version of a theorem of Hirzebruch and Zagier saying that
Hirzebruch-Zagier divisors on a Hilbert modular surface are the coefficients of an elliptic …

Arithmétique p-adique des formes de hilbert surconvergence, ramification et modularité

V Pilloni, B Stroh - Astérisque, 2016 - smf.emath.fr
Nous démontrons un théorème de relèvement modulaire pour les représentations
galoisiennes de dimension deux, totalement impaires, de poids de Hodge-Tate nuls du …

Integral models of Hilbert modular varieties in the ramified case, deformations of modular Galois representations, and weight one forms

S Sasaki - Inventiones mathematicae, 2019 - Springer
Integral models of Hilbert modular varieties in the ramified case, deformations of modular Galois
representations, and weight one forms | SpringerLink Skip to main content Advertisement …

Canonical subgroups over Hilbert modular varieties

EZ Goren, PL Kassaei - Journal für die reine und angewandte …, 2012 - degruyter.com
Canonical subgroups over Hilbert modular varieties Page 1 J. reine angew. Math. 670 (2012),
1—63 DOI 10.1515/CRELLE.2011.149 Journal fr die reine und angewandte Mathematik …

The Cone of Minimal Weights for Mod p Hilbert Modular Forms

F Diamond, PL Kassaei - International Mathematics Research …, 2023 - academic.oup.com
We prove that all mod Hilbert modular forms arise via multiplication by generalized partial
Hasse invariants from forms whose weight falls within a certain minimal cone. This answers …

Groupes -divisibles avec condition de Pappas-Rapoport et invariants de Hasse

S Bijakowski, V Hernandez - Journal de l'École polytechnique …, 2017 - numdam.org
Nous étudions les groupes p-divisibles G munis d'une action de l'anneau des entiers d'une
extension finie (possiblement ramifiée) de Qp sur un schéma de caractéristique p. Nous …

Hilbert modular varieties of low dimension

F Andreatta, EZ Goren - Geometric aspects of Dwork theory, 2004 - degruyter.com
We study in detail properties of Hilbert modular varieties of low dimension in positive
characteristic p; in particular, the local and global properties of certain stratifications. To carry …

Classicality for small slope overconvergent automorphic forms on some compact PEL Shimura varieties of type C

C Johansson - Mathematische Annalen, 2013 - Springer
We study the rigid cohomology of the ordinary locus in some compact PEL Shimura varieties
of type C with values in automorphic local systems and use it to prove a small slope criterion …

La filtration canonique des -modules p-divisibles

V Hernandez - Mathematische Annalen, 2019 - Springer
In this article we associate to G, a truncated p-divisible O O-module of given signature,
where OO is a finite unramified extension of Z _p Z p, a filtration of G by sub-O O-modules …