Cover Image

A note on the parity conjecture and base change

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Dokchitser, Vladimir
Format:	Preprint
Published:	2024
Subjects:	Number Theory 11G40 (Primary) 11G05, 14G10, 20C15 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

Comparison of different Tate conjectures
by: Ertl, Veronika, et al.
Published: (2020)

Chai's conjectures on base change conductors
by: Overkamp, Otto, et al.
Published: (2023)

$p$-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)

Tate module and bad reduction
by: Dokchitser, Tim, et al.
Published: (2018)

A classification of reduction types of curves
by: Dokchitser, Tim
Published: (2025)

Complete verification of strong BSD for many modular abelian surfaces over $\mathbf{Q}$
by: Keller, Timo, et al.
Published: (2023)

A note on Bremner's conjecture and uniformity
by: Garcia-Fritz, Natalia, et al.
Published: (2026)

Abelian surfaces over finite fields containing no curves of genus $3$ or less
by: Berardini, Elena, et al.
Published: (2024)

Reduction of Kummer surfaces modulo 2 in the non-supersingular case
by: Lazda, Christopher, et al.
Published: (2022)

Character formula for Weil representations in terms of Frobenius traces
by: Dokchitser, Tim, et al.
Published: (2022)

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

A note on the order of the Tate--Shafarevich group modulo squares
by: Konstantinou, Alexandros
Published: (2024)

Intersections of the automorphism and the Ekedahl-Oort strata in $M_2$
by: Gonzalez-Hernandez, Alvaro
Published: (2025)

$p$-torsion for unramified Artin--Schreier covers of curves
by: Cais, Bryden, et al.
Published: (2023)

Hypergeometric Motives from Euler Integral Representations
by: Kelly, Tyler L., et al.
Published: (2024)

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

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

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

Effective Mordell for curves with enough automorphisms
by: Garcia-Fritz, Natalia, et al.
Published: (2025)

A Lehmer-Type Lower Bound for the Canonical Height on Elliptic Curves Over Function Fields
by: Silverman, Joseph H.
Published: (2024)

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

Refined obstructions to local-global principles for 0-cycles
by: Balestrieri, Francesca, et al.
Published: (2026)

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

The stacky Batyrev-Manin conjecture and modular curves
by: Darda, Ratko, et al.
Published: (2026)

Hypergeometric Motives from Toric Hypersurfaces
by: Abdelraouf, Asem
Published: (2025)

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

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

Patterns on elliptic curves beyond Bremner's conjecture
by: Garcia-Fritz, Natalia, et al.
Published: (2026)

A Note on the Growth of Sha in Dihedral Extensions
by: Bell, Jamie
Published: (2024)

Quotients of hyperelliptic curves and etale cohomology
by: Dokchitser, Tim, et al.
Published: (2015)

Every finite abelian group is the group of rational points of an ordinary abelian variety over $\mathbb{F}_2$, $\mathbb{F}_3$ and $\mathbb{F}_5$
by: Marseglia, Stefano, et al.
Published: (2021)

Abelian varieties over finite fields and their groups of rational points
by: Marseglia, Stefano, et al.
Published: (2022)

Quadratic twists of tiling number elliptic curves
by: Feng, Keqin, et al.
Published: (2024)

Local points on twists of $X(p)$ with applications
by: Freitas, Nuno, et al.
Published: (2025)

Some cases of Oort's conjecture about Newton polygons
by: Pries, Rachel
Published: (2023)

Explicit desingularisation of Kummer surfaces in characteristic two via specialisation
by: Gonzalez-Hernandez, Alvaro
Published: (2024)

Criteria of maximality and minimality of van der Geer-van der Vlugt curves
by: Ito, Tetsushi, et al.
Published: (2024)

Superelliptic degree sets over Henselian fields
by: Galarraga, Alexander, et al.
Published: (2025)