Cover Image

Rings of Hilbert modular forms, computations on Hilbert modular surfaces, and the Oda-Hamahata conjecture

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Logan, Adam
Format:	Preprint
Published:	2024
Subjects:	Number Theory Algebraic Geometry 14G35 (Primary), 14Q10, 11G05, 11F41, 14Q25 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

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

The integral Hasse principle for stacky curves associated to a family of generalized Fermat equations
by: Duque-Rosero, Juanita, et al.
Published: (2025)

Weak weak approximation and the Hilbert property for degree-two del Pezzo surfaces
by: Demeio, Julian Lawrence, et al.
Published: (2023)

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

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

Curve equations from expansions of 1-forms at a nonrational point
by: van Bommel, Raymond, et al.
Published: (2025)

Pullback Method with Applications to Severi--Brauer Fibrations
by: Biswas, Mridul, et al.
Published: (2024)

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

Galois Realisations of $\operatorname{PSL}_2(\mathbb{F}_{p^2})$ via non-unirational Hilbert Irreducibility
by: Demeio, Julian, et al.
Published: (2025)

Determining the rational points on a curve of genus 2 and Mordell-Weil rank 1
by: Stoll, Michael
Published: (2025)

Kodaira-Spencer isomorphisms and degeneracy maps on Iwahori-level Hilbert modular varieties: the saving trace
by: Diamond, Fred
Published: (2021)

Completely decomposable modular Jacobians
by: Paulhus, Jennifer, et al.
Published: (2025)

Doubly isogenous curves of genus two with a rational action of $D_6$
by: Booher, Jeremy, et al.
Published: (2024)

Computing Euler factors of genus 2 curves at odd primes of almost good reduction
by: Maistret, Céline, et al.
Published: (2024)

Generalized Campana points and adelic approximation on toric varieties
by: Moerman, Boaz
Published: (2024)

Torsion points on $\rm{GL}_2$-type abelian varieties
by: Alessandrì, Jessica, et al.
Published: (2026)

Refined obstructions to local-global principles for 0-cycles
by: Balestrieri, Francesca, et al.
Published: (2026)

Bloch-Beilinson conjectures for Hecke characters and Eisenstein cohomology of Picard surfaces
by: Bajpai, Jitendra, et al.
Published: (2022)

Complete verification of strong BSD for many modular abelian surfaces over $\mathbf{Q}$
by: Keller, Timo, et al.
Published: (2023)

Finding the complement of an elliptic curve inside a Jacobian
by: Gallese, Andrea, et al.
Published: (2026)

The Manin-Peyre conjecture for smooth spherical Fano threefolds
by: Blomer, Valentin, et al.
Published: (2022)

Hilbert property for low-genus families and degree-one del Pezzo surfaces
by: Demeio, Julian, et al.
Published: (2025)

Cones of Weights and Minimal Cones of the Goren-Oort Strata in Hilbert modular varieties
by: Diamond, Fred, et al.
Published: (2025)

Formal Siegel modular forms for arithmetic subgroups
by: Bruinier, Jan Hendrik, et al.
Published: (2024)

An arithmetic intersection for squares of elliptic curves with complex multiplication
by: García, Elisa Lorenzo, et al.
Published: (2024)

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

The constructive inverse Galois problem via Hilbert modular forms: realizing the transitive group 17T7
by: van Bommel, Raymond, et al.
Published: (2024)

Reflective obstructions of unitary modular varieties
by: Maeda, Yota
Published: (2022)

The modularity of an abelian variety
by: Yang, Jae-Hyun
Published: (2025)

Modular curves and bad reduction
by: Logan, Adam, et al.
Published: (2026)

Prime order torsion on elliptic curves over number fields. Part I: Asymptotics
by: Derickx, Maarten, et al.
Published: (2025)

Squares in arithmetic progression over quadratic extensions of number fields
by: González-Jiménez, Enrique
Published: (2026)

The relatively perfect Greenberg transform and cycle class maps
by: Bertapelle, Alessandra, et al.
Published: (2020)

Rational and integral points on Markoff-type K3 surfaces
by: Dao, Quang-Duc
Published: (2025)

Intrinsic Subgroups and the $\ell$-adic Galois image
by: Greene, Jacob
Published: (2026)

A positive proportion of monic odd-degree hyperelliptic curves of genus $g \geq 4$ have no unexpected quadratic points
by: Laga, Jef, et al.
Published: (2024)

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

Integral points on singular del Pezzo surfaces
by: Derenthal, Ulrich, et al.
Published: (2021)

Manin's conjecture for $\mathcal{M}$-points
by: Moerman, Boaz
Published: (2025)