Explicit $7$-torsion in the Tate-Shafarevich groups of genus $2$ Jacobians
Fuente:
arXiv
Saved in:
| Main Author: | Frengley, Sam |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups
by: Frengley, Sam, et al.
Published: (2026)
by: Frengley, Sam, et al.
Published: (2026)
Arbitrarily large $p$-torsion in Tate-Shafarevich groups
by: Flynn, E. Victor, et al.
Published: (2022)
by: Flynn, E. Victor, et al.
Published: (2022)
On Galois covers of curves and arithmetic of Jacobians
by: Konstantinou, Alexandros, et al.
Published: (2024)
by: Konstantinou, Alexandros, et al.
Published: (2024)
A note on the order of the Tate--Shafarevich group modulo squares
by: Konstantinou, Alexandros
Published: (2024)
by: Konstantinou, Alexandros
Published: (2024)
Generic models for genus 2 curves with real multiplication
by: Cowan, Alex, et al.
Published: (2024)
by: Cowan, Alex, et al.
Published: (2024)
Parity of ranks of Jacobians of curves
by: Dokchitser, Vladimir, et al.
Published: (2022)
by: Dokchitser, Vladimir, et al.
Published: (2022)
Comparison of different Tate conjectures
by: Ertl, Veronika, et al.
Published: (2020)
by: Ertl, Veronika, et al.
Published: (2020)
Explicit supersingular cyclic curves
by: Streng, Marco
Published: (2025)
by: Streng, Marco
Published: (2025)
An analog of the Edwards model for Jacobians of genus 2 curves
by: Flynn, E. Victor, et al.
Published: (2022)
by: Flynn, E. Victor, et al.
Published: (2022)
Computing torsion for plane quartics without using height bounds
by: van Bommel, Raymond
Published: (2023)
by: van Bommel, Raymond
Published: (2023)
A Diophantine Criterion for the Shafarevich-Tate Groups of Elliptic Curves from Heron Triangles
by: Ghale, Vinodkumar
Published: (2023)
by: Ghale, Vinodkumar
Published: (2023)
Curves of genus two with maps of every degree to a fixed elliptic curve
by: Howe, Everett W.
Published: (2026)
by: Howe, Everett W.
Published: (2026)
On the geometry of the Humbert surface of square discriminant
by: Frengley, Sam
Published: (2024)
by: Frengley, Sam
Published: (2024)
$p$-torsion for unramified Artin--Schreier covers of curves
by: Cais, Bryden, et al.
Published: (2023)
by: Cais, Bryden, et al.
Published: (2023)
Tate-Shafarevich results for quartic twists in characteristic $2$
by: Borges, Herivelto, et al.
Published: (2024)
by: Borges, Herivelto, et al.
Published: (2024)
Producing supersingular curves of genus five
by: Booher, Jeremy, et al.
Published: (2024)
by: Booher, Jeremy, et al.
Published: (2024)
Isogenies on Kummer Surfaces
by: Santos, Maria Corte-Real, et al.
Published: (2024)
by: Santos, Maria Corte-Real, et al.
Published: (2024)
Counting points on smooth plane quartics
by: Costa, Edgar, et al.
Published: (2022)
by: Costa, Edgar, et al.
Published: (2022)
A naive p-adic height on the Jacobians of curves of genus 2
by: Trip, Manoy T.
Published: (2023)
by: Trip, Manoy T.
Published: (2023)
Rank of Jacobian Varieties of Curves $y^s=x(ax^r+b)$
by: Salami, Sajad
Published: (2025)
by: Salami, Sajad
Published: (2025)
$p$-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)
On the anticyclotomic Iwasawa theory of newforms at Eisenstein primes of semistable reduction
by: Keller, Timo, et al.
Published: (2024)
by: Keller, Timo, et al.
Published: (2024)
Affine Chabauty II
by: Leonhardt, Marius, et al.
Published: (2026)
by: Leonhardt, Marius, et al.
Published: (2026)
Affine Chabauty I
by: Leonhardt, Marius, et al.
Published: (2025)
by: Leonhardt, Marius, et al.
Published: (2025)
A torsion-intersection proof of perfect-cuboid nonexistence on 1,072 explicit master-tuple fibers
by: Peschmann, René
Published: (2026)
by: Peschmann, René
Published: (2026)
Coleman-Gross Heights and $p$-adic Néron Functions on Jacobians of Genus $2$ Curves
by: Bianchi, Francesca, et al.
Published: (2023)
by: Bianchi, Francesca, et al.
Published: (2023)
Refinements on vertical Sato-Tate
by: Ma, Zhao Yu
Published: (2023)
by: Ma, Zhao Yu
Published: (2023)
On a non-abelian analogue of a conjecture of Michael Stoll
by: Betts, L. Alexander
Published: (2025)
by: Betts, L. Alexander
Published: (2025)
Counting points on some genus zero Shimura curves
by: Genao, Tyler, et al.
Published: (2025)
by: Genao, Tyler, et al.
Published: (2025)
The splitting field and generators of the elliptic surface $Y^2=X^3 +t^{360} +1$
by: Salami, Sajad
Published: (2025)
by: Salami, Sajad
Published: (2025)
Doubly isogenous curves of genus two with a rational action of $D_6$
by: Booher, Jeremy, et al.
Published: (2024)
by: Booher, Jeremy, et al.
Published: (2024)
A classification of reduction types of curves
by: Dokchitser, Tim
Published: (2025)
by: Dokchitser, Tim
Published: (2025)
On 2-Selmer groups of twists after quadratic extension
by: Morgan, Adam, et al.
Published: (2020)
by: Morgan, Adam, et al.
Published: (2020)
Restrictions on endomorphism rings of jacobians and their minimal fields of definition
by: Goodman, Pip
Published: (2019)
by: Goodman, Pip
Published: (2019)
Reduction of Hyperelliptic Curves in Residue Characteristic 2
by: Gehrunger, Tim, et al.
Published: (2024)
by: Gehrunger, Tim, et al.
Published: (2024)
On (2,2)-decomposable genus 4 Jacobians
by: Bruin, Nils, et al.
Published: (2023)
by: Bruin, Nils, et al.
Published: (2023)
Counting points on superelliptic curves in average polynomial time
by: Sutherland, Andrew V.
Published: (2020)
by: Sutherland, Andrew V.
Published: (2020)
Computing Euler factors of genus 2 curves at odd primes of almost good reduction
by: Maistret, Céline, et al.
Published: (2024)
by: Maistret, Céline, et al.
Published: (2024)
The de Rham and the syntomic logarithm
by: Flach, Matthias, et al.
Published: (2026)
by: Flach, Matthias, et al.
Published: (2026)
Ekedahl-Oort types of $\mathbb{Z}/2\mathbb{Z}$-covers in characteristic $2$
by: Booher, Jeremy, et al.
Published: (2025)
by: Booher, Jeremy, et al.
Published: (2025)
Similar Items
-
Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups
by: Frengley, Sam, et al.
Published: (2026) -
Arbitrarily large $p$-torsion in Tate-Shafarevich groups
by: Flynn, E. Victor, et al.
Published: (2022) -
On Galois covers of curves and arithmetic of Jacobians
by: Konstantinou, Alexandros, et al.
Published: (2024) -
A note on the order of the Tate--Shafarevich group modulo squares
by: Konstantinou, Alexandros
Published: (2024) -
Generic models for genus 2 curves with real multiplication
by: Cowan, Alex, et al.
Published: (2024)