:: Library Catalog

Cover Image

Saved in:

Bibliographic Details
Main Authors:	Alpöge, Levent, Bhargava, Manjul, Ho, Wei, Shnidman, Ari
Format:	Preprint
Published:	2025
Subjects:	Number Theory Logic 11U05, 14H40, 11G10, 11G30
Online Access:	https://arxiv.org/abs/2501.18774
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Integers expressible as the sum of two rational cubes
by: Alpöge, Levent, et al.
Published: (2022)

Arbitrarily large $p$-torsion in Tate-Shafarevich groups
by: Flynn, E. Victor, et al.
Published: (2022)

Hilbert's tenth problem for families of $ \mathbb{Z}_p $-extensions of imaginary quadratic fields
by: Müller, Katharina, 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)

Ranks of abelian varieties in cyclotomic twist families
by: Shnidman, Ari, et al.
Published: (2021)

Hilbert's tenth problem in Anticyclotomic towers of number fields
by: Ray, Anwesh, et al.
Published: (2023)

Rank of Jacobian Varieties of Curves $y^s=x(ax^r+b)$
by: Salami, Sajad
Published: (2025)

Computing torsion for plane quartics without using height bounds
by: van Bommel, Raymond
Published: (2023)

Undecidability of infinite towers of Kummer extensions of $\mathbb{F}_p(t)$
by: Martinez-Ranero, Carlos, et al.
Published: (2024)

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups
by: Frengley, Sam, et al.
Published: (2026)

Isogenies on Kummer Surfaces
by: Santos, Maria Corte-Real, et al.
Published: (2024)

Cubic and quartic points on modular curves using generalised symmetric Chabauty
by: Box, Josha, et al.
Published: (2021)

Ranks of elliptic curves in cyclic sextic extensions of $\mathbb{Q}$
by: Kisilevsky, Hershy, et al.
Published: (2023)

Rank stability makes rings of integers diophantine
by: Poonen, Bjorn
Published: (2025)

Affine Chabauty II
by: Leonhardt, Marius, et al.
Published: (2026)

Affine Chabauty I
by: Leonhardt, Marius, et al.
Published: (2025)

On the Birch and Swinnerton-Dyer formula modulo squares for certain quadratic twists of elliptic curves
by: Barrios, Alexander J., et al.
Published: (2025)

Parity of ranks of Jacobians of curves
by: Dokchitser, Vladimir, et al.
Published: (2022)

A note on rank zero quadratic twists of a Mordell curve
by: Chutia, Ankurjyoti, et al.
Published: (2019)

Torsion points of small order on cyclic covers of $\mathbb P^1$. II
by: Bekker, Boris, et al.
Published: (2025)

Infinite extensions with finitely many CM moduli
by: Kawaguchi, Shu, et al.
Published: (2026)

Explicit $7$-torsion in the Tate-Shafarevich groups of genus $2$ Jacobians
by: Frengley, Sam
Published: (2024)

On the Rank of Jacobian Varieties of the Curves $y^s=ax^r+b$
by: Salami, Sajad
Published: (2025)

Average analytic ranks of elliptic curves over number fields
by: Phillips, Tristan
Published: (2022)

Equidistribution in Families of Abelian Varieties and Uniformity
by: Kühne, Lars
Published: (2021)

On Galois covers of curves and arithmetic of Jacobians
by: Konstantinou, Alexandros, et al.
Published: (2024)

L-functions and rational points for Galois twists of modular curves
by: Studnia, Elie
Published: (2025)

Non-isogenous superelliptic jacobians II
by: Zarhin, Yuri G.
Published: (2023)

On the height of the universal abelian variety
by: Gil, José Ignacio Burgos, et al.
Published: (2024)

Undecidability of infinite algebraic extensions of $\mathbb{F}_p(t)$
by: Martinez-Ranero, Carlos, et al.
Published: (2024)

Linear and quadratic Chabauty for affine hyperbolic curves
by: Leonhardt, Marius, et al.
Published: (2023)

Data for Shimura varieties intersecting the Torelli locus
by: Li, Wanlin, et al.
Published: (2021)

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

An analog of the Edwards model for Jacobians of genus 2 curves
by: Flynn, E. Victor, et al.
Published: (2022)

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

Algorithms for $p$-adic Heights on Hyperelliptic Curves of Arbitrary Reduction
by: Bianchi, Francesca, et al.
Published: (2024)

Modular Heights of Unitary Shimura Varieties
by: Guo, Ziqi
Published: (2025)

Integral torsion points on abelian varieties over function fields
by: de Jong, Robin, et al.
Published: (2026)

Etale descent obstruction and anabelian geometry of curves over finite fields
by: Creutz, Brendan, et al.
Published: (2023)

Twisted triple product root numbers and a cycle of Darmon-Rotger
by: Lilienfeldt, David T. -B. G.
Published: (2024)