Cover Image

Selmer ranks in twists of CM abelian varieties

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Shu, Jie
Format:	Preprint
Published:	2025
Subjects:	Number Theory Primiary 11G10, Secondary 11G05, 11G30, 11D41, 14K22
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Quadratic spaces and Selmer groups of abelian varieties with multiplication
by: Shu, Jie
Published: (2025)

p-Selmer ranks of CM abelian varieties
by: Bell, Jamie
Published: (2022)

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

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

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

Unbounded average Selmer ranks of elliptic curves in torsion families
by: Phillips, Tristan
Published: (2025)

Counting points on some genus zero Shimura curves
by: Genao, Tyler, et al.
Published: (2025)

On 2-Selmer groups of twists after quadratic extension
by: Morgan, Adam, et al.
Published: (2020)

Frobenius sign separation for abelian varieties
by: Bucur, Alina, et al.
Published: (2023)

Ordinary abelian varieties: isogeny graphs and polarizations
by: Costa, Edgar, et al.
Published: (2026)

Divisibility sequences related to abelian varieties isogenous to a power of an elliptic curve
by: Barańczuk, Stefan, et al.
Published: (2023)

Duality of Selmer groups of an abelian variety over a number field
by: Biswas, Saikat
Published: (2025)

Models of CM elliptic curves with a prescribed $\ell$-adic Galois image
by: González-Jiménez, Enrique, et al.
Published: (2024)

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

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

CM-liftability of simple superspecial abelian surfaces over prime fields
by: Yang, Hsin-Yi
Published: (2026)

On the CM exception to a generalization of the Stéphanois theorem
by: Gómez, Desirée Gijón
Published: (2025)

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

On the computation of endomorphism rings of abelian surfaces over finite fields
by: Anni, Samuele, et al.
Published: (2025)

On distributions of $L'$-values and orders of Sha groups in families of quadratic twists
by: Wong, Peng-Jie
Published: (2024)

Galois module structures and the Hasse principle in twist families via the distribution of Selmer groups
by: Bartel, Alex, et al.
Published: (2025)

On the conductor of a family of Frey hyperelliptic curves
by: García, Pedro-José Cazorla, et al.
Published: (2025)

Infinitely many hyperelliptic curves of small genus and small fixed rank, and of any genus and rank two
by: Gajović, Stevan, et al.
Published: (2025)

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

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

Generic models for genus 2 curves with real multiplication
by: Cowan, Alex, et al.
Published: (2024)

Moduli for rational genus 2 curves with real multiplication for discriminant 5
by: Cowan, Alex, et al.
Published: (2022)

Slopes of $F$-isocrystals over abelian varieties
by: D'Addezio, Marco
Published: (2021)

Transcendental Brauer groups of products of CM elliptic curves
by: Newton, Rachel
Published: (2015)

Abelian threefolds with imaginary multiplication
by: Fité, Francesc, et al.
Published: (2025)

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

Conductor exponents for families of hyperelliptic curves
by: Azon, Martin, et al.
Published: (2024)

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

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

Rational torsion points on abelian surfaces with quaternionic multiplication
by: Laga, Jef, et al.
Published: (2023)

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

$p$-converse theorems for elliptic curves of potentially good ordinary reduction at Eisenstein primes
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)

Curves of genus two with maps of every degree to a fixed elliptic curve
by: Howe, Everett W.
Published: (2026)

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