Cover Image

Computing the mod-3 Galois image of a principally polarized abelian surface over the rationals

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Chidambaram, Shiva
Format:	Preprint
Published:	2025
Subjects:	Number Theory 11F80 (Primary) 11G10 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

An effective open image theorem for products of principally polarized abelian varieties
by: Mayle, Jacob, et al.
Published: (2022)

On Galois representations associated to mod $p$ Hilbert modular forms
by: Diamond, Fred, et al.
Published: (2025)

Open image computations for elliptic curves over number fields
by: Zywina, David
Published: (2024)

Explicit open images for elliptic curves over $\mathbb{Q}$
by: Zywina, David
Published: (2022)

Quantitative level lowering for weight two Hilbert modular forms
by: Moakher, Mohamed
Published: (2024)

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

On the surjectivity of Galois representations attached to Drinfeld $A$-modules of rank $2$
by: Kumar, Narasimha, et al.
Published: (2025)

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

Completing the classification of torsion subgroups for rational elliptic curves over sextic fields
by: Adžaga, Nikola, et al.
Published: (2026)

Drinfeld modules with maximal Galois action
by: Zywina, David
Published: (2025)

Generalized triple product $p$-adic $L$-functions and rational points on elliptic curves
by: Marannino, Luca
Published: (2023)

A class of Drinfeld $A$-modules of rank $3$ with surjective Galois representations
by: Kumar, Narasimha, et al.
Published: (2025)

Non-abelian Anderson A-modules: Comparison isomorphisms and Galois representations
by: Maurischat, Andreas
Published: (2024)

Comparing Galois representations in the residually reducible case
by: Freitas, Nuno, et al.
Published: (2025)

On the effective version of Serre's open image theorem
by: Mayle, Jacob, et al.
Published: (2021)

On the surjectivity of $(T)$-adic Galois Representations of Drinfeld $A$-Modules of Rank 2 and 3: Density results
by: Kumar, Narasimha, et al.
Published: (2026)

On the local-global principle for twists of abelian varieties
by: Coppola, Nirvana, et al.
Published: (2026)

Superelliptic curves with large Galois images
by: Goodman, Pip
Published: (2020)

Potential automorphy of certain non self-dual 3-dimensional Galois representations
by: Miagkov, Konstantin
Published: (2024)

$\ell$-adic images of Galois for elliptic curves over $\mathbb{Q}$
by: Rouse, Jeremy, et al.
Published: (2021)

Ordinary primes for $\mathrm{GL}_2$-type abelian varieties and weight $2$ modular forms
by: Wang, Tian, et al.
Published: (2025)

On the Density of Coprime Reductions of Elliptic Curves
by: Hamakiotes, Asimina S., et al.
Published: (2026)

Irreducibility of polarized automorphic Galois representations in infinitely many dimensions
by: Feng, Zachary, et al.
Published: (2025)

A uniform bound on the smallest surjective prime of an elliptic curve
by: Genao, Tyler, et al.
Published: (2025)

Improved bounds for integral points on modular curves using Runge's method
by: Zywina, David
Published: (2024)

Opposing Average Congruence Class Biases in the Cyclicity and Koblitz Conjectures for Elliptic Curves
by: Lee, Sung Min, et al.
Published: (2024)

Entanglement of elliptic curves upon base extension
by: Day, Tori, et al.
Published: (2024)

Explicit lower bounds on the conductors of elliptic curves and abelian varieties over number fields
by: Pierre, Tchamitchian
Published: (2024)

On the generalized Fermat equation $x^{13} + y^{13} = z^n$
by: Best, Alex J., et al.
Published: (2025)

On the Constants of the Lang-Trotter Conjecture for CM Elliptic Curves
by: Ray, Anish
Published: (2023)

Coincidences of Division Fields of an elliptic curve defined over a number field
by: Yvon, Zoé
Published: (2024)

Asymptotic solutions of the generalized Fermat-type equation of signature $(p,p,3)$ over totally real number fields
by: Sahoo, Satyabrat, et al.
Published: (2024)

Constructing Galois representations with prescribed Iwasawa $λ$-invariant
by: Ray, Anwesh
Published: (2023)

On the solutions of the generalized Fermat equation over totally real number fields
by: Sahoo, Satyabrat
Published: (2024)

Watkins's conjecture for elliptic curves with a rational torsion
by: Bhakta, Subham, et al.
Published: (2024)

(Algebraic) $ p $-adic Artin formalism of twisted triple product Galois representations over real quadratic fields
by: Das, Bhargab, et al.
Published: (2025)

On the solutions of $x^2= By^p+Cz^p$ and $2x^2= By^p+Cz^p$ over totally real fields
by: Kumar, Narasimha, et al.
Published: (2023)

Towards a generalized Maeda conjecture for modular forms with quadratic nebentypus
by: Banerjee, Debargha, et al.
Published: (2026)

The eigencurve at crystalline points with scalar Frobenius and Gross-Stark regulators
by: Betina, Adel, et al.
Published: (2025)

Non-optimal levels of some reducible mod $p$ modular representations
by: Deo, Shaunak V.
Published: (2022)