Arbitrarily large $p$-torsion in Tate-Shafarevich groups
Fuente:
arXiv
Saved in:
| Main Authors: | Flynn, E. Victor, Shnidman, Ari |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Explicit $7$-torsion in the Tate-Shafarevich groups of genus $2$ Jacobians
by: Frengley, Sam
Published: (2024)
by: Frengley, Sam
Published: (2024)
Comparison of different Tate conjectures
by: Ertl, Veronika, et al.
Published: (2020)
by: Ertl, Veronika, et al.
Published: (2020)
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)
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)
$p$-torsion for unramified Artin--Schreier covers of curves
by: Cais, Bryden, et al.
Published: (2023)
by: Cais, Bryden, et al.
Published: (2023)
A note on the order of the Tate--Shafarevich group modulo squares
by: Konstantinou, Alexandros
Published: (2024)
by: Konstantinou, Alexandros
Published: (2024)
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)
Tate-Shafarevich results for quartic twists in characteristic $2$
by: Borges, Herivelto, et al.
Published: (2024)
by: Borges, Herivelto, et al.
Published: (2024)
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)
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)
Reduction of Hyperelliptic Curves in Residue Characteristic 2
by: Gehrunger, Tim, et al.
Published: (2024)
by: Gehrunger, Tim, et al.
Published: (2024)
Counting points on superelliptic curves in average polynomial time
by: Sutherland, Andrew V.
Published: (2020)
by: Sutherland, Andrew V.
Published: (2020)
A classification of reduction types of curves
by: Dokchitser, Tim
Published: (2025)
by: Dokchitser, Tim
Published: (2025)
Torsion points of small order on cyclic covers of $\mathbb P^1$. II
by: Bekker, Boris, et al.
Published: (2025)
by: Bekker, Boris, et al.
Published: (2025)
Complete verification of strong BSD for many modular abelian surfaces over $\mathbf{Q}$
by: Keller, Timo, et al.
Published: (2023)
by: Keller, Timo, et al.
Published: (2023)
Rank stability in quadratic extensions and Hilbert's tenth problem for the ring of integers of a number field
by: Alpöge, Levent, et al.
Published: (2025)
by: Alpöge, Levent, et al.
Published: (2025)
Isogenies on Kummer Surfaces
by: Santos, Maria Corte-Real, et al.
Published: (2024)
by: Santos, Maria Corte-Real, et al.
Published: (2024)
Explicit supersingular cyclic curves
by: Streng, Marco
Published: (2025)
by: Streng, Marco
Published: (2025)
Algorithms for $p$-adic Heights on Hyperelliptic Curves of Arbitrary Reduction
by: Bianchi, Francesca, et al.
Published: (2024)
by: Bianchi, Francesca, et al.
Published: (2024)
Non-isogenous superelliptic jacobians II
by: Zarhin, Yuri G.
Published: (2023)
by: Zarhin, Yuri G.
Published: (2023)
Chabauty--Kim, finite descent, and the Section Conjecture for locally geometric sections
by: Betts, L. Alexander, et al.
Published: (2023)
by: Betts, L. Alexander, et al.
Published: (2023)
Gluing Genus 1 and Genus 2 Curves Along $\ell$-torsion
by: Saengrungkongka, Pitchayut, et al.
Published: (2025)
by: Saengrungkongka, Pitchayut, et al.
Published: (2025)
Producing supersingular curves of genus five
by: Booher, Jeremy, et al.
Published: (2024)
by: Booher, Jeremy, et al.
Published: (2024)
Derivatives of Rankin-Selberg $L$-functions and heights of generalized Heegner cycles
by: Lilienfeldt, David T. -B. G., et al.
Published: (2024)
by: Lilienfeldt, David T. -B. G., et al.
Published: (2024)
Periods modulo $p$ of integer sequences associated with division polynomials of genus $2$ curves
by: Ishitsuka, Yasuhiro, et al.
Published: (2023)
by: Ishitsuka, Yasuhiro, et al.
Published: (2023)
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)
Ranks of abelian varieties in cyclotomic twist families
by: Shnidman, Ari, et al.
Published: (2021)
by: Shnidman, Ari, et al.
Published: (2021)
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)
by: Laga, Jef, et al.
Published: (2024)
Rational torsion points on abelian surfaces with quaternionic multiplication
by: Laga, Jef, et al.
Published: (2023)
by: Laga, Jef, et al.
Published: (2023)
Motivic distribution of rational curves and twisted products of toric varieties
by: Faisant, Loïs
Published: (2023)
by: Faisant, Loïs
Published: (2023)
On Galois covers of curves and arithmetic of Jacobians
by: Konstantinou, Alexandros, et al.
Published: (2024)
by: Konstantinou, Alexandros, et al.
Published: (2024)
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)
Anabelian properties of tame fundamental groups of singular curves
by: Murotani, Takahiro
Published: (2025)
by: Murotani, Takahiro
Published: (2025)
The Brauer-Manin obstruction for nonisotrivial curves over global function fields
by: Creutz, Brendan, et al.
Published: (2023)
by: Creutz, Brendan, et al.
Published: (2023)
Points of low degree on curves over function fields
by: van Schaick, Sièna
Published: (2026)
by: van Schaick, Sièna
Published: (2026)
Arithmetic rank bounds for abelian varieties over function fields
by: Boudreau, Félix Baril, et al.
Published: (2023)
by: Boudreau, Félix Baril, et al.
Published: (2023)
Abstract divisorial spaces and arithmetic intersection numbers
by: Cai, Yulin, et al.
Published: (2024)
by: Cai, Yulin, et al.
Published: (2024)
The $p$-rank stratification of the moduli space of double covers of a fixed elliptic curve
by: Chang, Kevin, et al.
Published: (2025)
by: Chang, Kevin, et al.
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)
Computing torsion for plane quartics without using height bounds
by: van Bommel, Raymond
Published: (2023)
by: van Bommel, Raymond
Published: (2023)
Similar Items
-
Explicit $7$-torsion in the Tate-Shafarevich groups of genus $2$ Jacobians
by: Frengley, Sam
Published: (2024) -
Comparison of different Tate conjectures
by: Ertl, Veronika, et al.
Published: (2020) -
Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups
by: Frengley, Sam, et al.
Published: (2026) -
An analog of the Edwards model for Jacobians of genus 2 curves
by: Flynn, E. Victor, et al.
Published: (2022) -
$p$-torsion for unramified Artin--Schreier covers of curves
by: Cais, Bryden, et al.
Published: (2023)