An effective open image theorem for products of principally polarized abelian varieties
Fuente:
arXiv
Saved in:
| Main Authors: | Mayle, Jacob, Wang, Tian |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
On the effective version of Serre's open image theorem
by: Mayle, Jacob, et al.
Published: (2021)
by: Mayle, Jacob, et al.
Published: (2021)
On the Density of Coprime Reductions of Elliptic Curves
by: Hamakiotes, Asimina S., et al.
Published: (2026)
by: Hamakiotes, Asimina S., et al.
Published: (2026)
Opposing Average Congruence Class Biases in the Cyclicity and Koblitz Conjectures for Elliptic Curves
by: Lee, Sung Min, et al.
Published: (2024)
by: Lee, Sung Min, et al.
Published: (2024)
Rational points on modular curves via maps to elliptic curves with rank zero
by: Mayle, Jacob, et al.
Published: (2026)
by: Mayle, Jacob, et al.
Published: (2026)
Computing the mod-3 Galois image of a principally polarized abelian surface over the rationals
by: Chidambaram, Shiva
Published: (2025)
by: Chidambaram, Shiva
Published: (2025)
A uniform bound on the smallest surjective prime of an elliptic curve
by: Genao, Tyler, et al.
Published: (2025)
by: Genao, Tyler, et al.
Published: (2025)
On the local-global principle for twists of abelian varieties
by: Coppola, Nirvana, et al.
Published: (2026)
by: Coppola, Nirvana, et al.
Published: (2026)
Explicit open images for elliptic curves over $\mathbb{Q}$
by: Zywina, David
Published: (2022)
by: Zywina, David
Published: (2022)
Explicit lower bounds on the conductors of elliptic curves and abelian varieties over number fields
by: Pierre, Tchamitchian
Published: (2024)
by: Pierre, Tchamitchian
Published: (2024)
Torsion points on $\rm{GL}_2$-type abelian varieties
by: Alessandrì, Jessica, et al.
Published: (2026)
by: Alessandrì, Jessica, et al.
Published: (2026)
Open image computations for elliptic curves over number fields
by: Zywina, David
Published: (2024)
by: Zywina, David
Published: (2024)
Ordinary primes for $\mathrm{GL}_2$-type abelian varieties and weight $2$ modular forms
by: Wang, Tian, et al.
Published: (2025)
by: Wang, Tian, et al.
Published: (2025)
On the generalized Fermat equation $x^{13} + y^{13} = z^n$
by: Best, Alex J., et al.
Published: (2025)
by: Best, Alex J., et al.
Published: (2025)
The possible adelic indices for elliptic curves admitting a rational cyclic isogeny
by: Finnerty, Kate, et al.
Published: (2025)
by: Finnerty, Kate, et al.
Published: (2025)
On the Constants of the Lang-Trotter Conjecture for CM Elliptic Curves
by: Ray, Anish
Published: (2023)
by: Ray, Anish
Published: (2023)
Entanglement of elliptic curves upon base extension
by: Day, Tori, et al.
Published: (2024)
by: Day, Tori, et al.
Published: (2024)
Effective open image theorem and a Linnik type problem for elliptic curves
by: Wang, Tian, et al.
Published: (2025)
by: Wang, Tian, et al.
Published: (2025)
Completing the classification of torsion subgroups for rational elliptic curves over sextic fields
by: Adžaga, Nikola, et al.
Published: (2026)
by: Adžaga, Nikola, et al.
Published: (2026)
Improved bounds for Serre's open image theorem
by: Chen, Imin, et al.
Published: (2024)
by: Chen, Imin, et al.
Published: (2024)
Quantitative level lowering for weight two Hilbert modular forms
by: Moakher, Mohamed
Published: (2024)
by: Moakher, Mohamed
Published: (2024)
On signed Mordell-Weil groups for abelian varieties
by: Ray, Jishnu
Published: (2023)
by: Ray, Jishnu
Published: (2023)
Duality of Selmer groups of an abelian variety over a number field
by: Biswas, Saikat
Published: (2025)
by: Biswas, Saikat
Published: (2025)
Comparing Galois representations in the residually reducible case
by: Freitas, Nuno, et al.
Published: (2025)
by: Freitas, Nuno, et al.
Published: (2025)
Explicit open image theorems for abelian varieties with trivial endomorphism ring
by: Bisatt, Matthew, et al.
Published: (2015)
by: Bisatt, Matthew, et al.
Published: (2015)
Torsion of rank-two $A$-motives values in odd characteristic cyclotomic towers
by: Okumura, Yoshiaki
Published: (2025)
by: Okumura, Yoshiaki
Published: (2025)
Generalized triple product $p$-adic $L$-functions and rational points on elliptic curves
by: Marannino, Luca
Published: (2023)
by: Marannino, Luca
Published: (2023)
$\ell$-adic images of Galois for elliptic curves over $\mathbb{Q}$
by: Rouse, Jeremy, et al.
Published: (2021)
by: Rouse, Jeremy, et al.
Published: (2021)
Coincidences of Division Fields of an elliptic curve defined over a number field
by: Yvon, Zoé
Published: (2024)
by: Yvon, Zoé
Published: (2024)
$p$-converse theorems for elliptic curves of potentially good ordinary reduction at Eisenstein primes
by: Keller, Timo, et al.
Published: (2024)
by: Keller, Timo, et al.
Published: (2024)
Improved bounds for integral points on modular curves using Runge's method
by: Zywina, David
Published: (2024)
by: Zywina, David
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)
by: Sahoo, Satyabrat, et al.
Published: (2024)
On the solutions of the generalized Fermat equation over totally real number fields
by: Sahoo, Satyabrat
Published: (2024)
by: Sahoo, Satyabrat
Published: (2024)
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)
by: Kumar, Narasimha, et al.
Published: (2023)
Kolyvagin systems of rank 0 and the structure of the Selmer group of elliptic curves over abelian extensions
by: Angurel, Alberto
Published: (2025)
by: Angurel, Alberto
Published: (2025)
On the surjectivity of Galois representations attached to Drinfeld $A$-modules of rank $2$
by: Kumar, Narasimha, et al.
Published: (2025)
by: Kumar, Narasimha, et al.
Published: (2025)
Superelliptic curves with large Galois images
by: Goodman, Pip
Published: (2020)
by: Goodman, Pip
Published: (2020)
Bounds for the distribution of the Frobenius traces associated to a generic abelian variety
by: Cojocaru, Alina Carmen, et al.
Published: (2022)
by: Cojocaru, Alina Carmen, et al.
Published: (2022)
The Smallest Invariant Factor of Elliptic Curves, and Coincidences
by: Milner, Alexander, et al.
Published: (2026)
by: Milner, Alexander, et al.
Published: (2026)
Murmurations for elliptic curves ordered by height
by: Sawin, Will, et al.
Published: (2025)
by: Sawin, Will, et al.
Published: (2025)
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)
by: Kumar, Narasimha, et al.
Published: (2026)
Similar Items
-
On the effective version of Serre's open image theorem
by: Mayle, Jacob, et al.
Published: (2021) -
On the Density of Coprime Reductions of Elliptic Curves
by: Hamakiotes, Asimina S., et al.
Published: (2026) -
Opposing Average Congruence Class Biases in the Cyclicity and Koblitz Conjectures for Elliptic Curves
by: Lee, Sung Min, et al.
Published: (2024) -
Rational points on modular curves via maps to elliptic curves with rank zero
by: Mayle, Jacob, et al.
Published: (2026) -
Computing the mod-3 Galois image of a principally polarized abelian surface over the rationals
by: Chidambaram, Shiva
Published: (2025)