Cover Image

Modular curves and bad reduction

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Logan, Adam, McKinnon, David
Format:	Preprint
Published:	2026
Subjects:	Number Theory Algebraic Geometry 11G18 (Primary) 14G35 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Modular curves and Néron models of generalized Jacobians
by: Jordan, Bruce W., et al.
Published: (2022)

Mod $p$ points on Shimura varieties of parahoric level (with an appendix by Rong Zhou)
by: van Hoften, Pol
Published: (2020)

On the ordinary Hecke orbit conjecture
by: van Hoften, Pol
Published: (2021)

Hecke orbits on Shimura varieties of Hodge type
by: D'Addezio, Marco, et al.
Published: (2022)

Effectivity for bounds on points of good reduction in the moduli space of hypersurfaces
by: Ji, Caleb
Published: (2024)

Kudla's modularity conjecture on integral models of orthogonal Shimura varieties
by: Howard, Benjamin, et al.
Published: (2022)

Uniruledness of some low-dimensional ball quotients
by: Maeda, Yota
Published: (2020)

The Degree of Irrationality of del Pezzo Surfaces
by: Logan, Adam, et al.
Published: (2025)

The motivic Hecke algebra for PEL Shimura varieties
by: Cavicchi, Mattia
Published: (2024)

The stacky Batyrev-Manin conjecture and modular curves
by: Darda, Ratko, et al.
Published: (2026)

Approximating rational points on surfaces
by: Lehmann, Brian, et al.
Published: (2024)

Rings of Hilbert modular forms, computations on Hilbert modular surfaces, and the Oda-Hamahata conjecture
by: Logan, Adam
Published: (2024)

Ordinary primes in Hilbert modular varieties
by: Suh, Junecue
Published: (2024)

Zilber-Pink in a product of modular curves assuming multiplicative degeneration
by: Daw, Christopher, et al.
Published: (2022)

The intrinsic subgroup of an elliptic curve and Mazur's torsion theorem
by: Yamazaki, Takao, et al.
Published: (2025)

Curves of best approximation on wonderful varieties
by: Manon, Christopher, et al.
Published: (2025)

Classification of Equivariant Line Bundles on the Drinfeld Upper Half Plane
by: Linden, Georg
Published: (2025)

Explicit Kodaira-Spencer maps over PEL Shimura varieties
by: Guo, Ziqi
Published: (2026)

Ekedahl-Oort strata under natural embeddings of orthogonal and unitary Shimura varieties
by: Qijun, Yan, et al.
Published: (2026)

De Rham $F$-gauges and Shimura varieties
by: Shen, Xu
Published: (2024)

Dual Shellability of Admissible Set and Cohen-Macaulayness of Local Models
by: He, Xuhua, et al.
Published: (2025)

On a conjecture of Pappas and Rapoport
by: Daniels, Patrick, et al.
Published: (2024)

On the Linear AFL: The Non-Basic Case
by: Li, Qirui, et al.
Published: (2022)

Compatibility of $F$-isocrystals on adjoint Shimura varieties
by: Huryn, Jake, et al.
Published: (2025)

Compatibility of canonical $\ell$-adic local systems on Shimura varieties, II
by: Patrikis, Stefan
Published: (2025)

Distinct differences of singular moduli
by: Fowler, Guy, et al.
Published: (2025)

Monodromy and Irreducibility of Igusa Varieties
by: van Hoften, Pol, et al.
Published: (2021)

On the Piatetski-Shapiro construction for integral models of Shimura varieties
by: van Hoften, Pol, et al.
Published: (2024)

Compatibility of canonical $\ell$-adic local systems on Shimura varieties
by: Klevdal, Christian, et al.
Published: (2023)

On the finiteness of maps into simple abelian varieties satisfying certain tangency conditions
by: Bartsch, Finn
Published: (2025)

Integral points of bounded height on a certain toric variety
by: Wilsch, Florian
Published: (2022)

Integral points of bounded height on quintic del Pezzo surfaces over number fields
by: Bernert, Christian, et al.
Published: (2025)

Points of bounded height on quintic del Pezzo surfaces over number fields
by: Bernert, Christian, et al.
Published: (2024)

Integral points of bounded height on a log Fano threefold
by: Wilsch, Florian
Published: (2019)

Points of bounded height on quintic del Pezzo surfaces over the rational numbers
by: Bernert, Christian, et al.
Published: (2025)

Galois group of exceptional curves on the generic del Pezzo surface
by: Fang, Xinyu
Published: (2026)

The stable trace formula for Igusa varieties, II
by: Meli, Alexander Bertoloni, et al.
Published: (2022)

The Brauer-Manin obstruction for nonisotrivial curves over global function fields
by: Creutz, Brendan, et al.
Published: (2023)

Local constancy of reduction type and related invariants for curves in $p$-adic families
by: Schrettner, Jakab
Published: (2025)

The Kodaira dimension of Hilbert modular threefolds
by: Logan, Adam
Published: (2025)