Cover Image

On superspecial hyperelliptic curves of genus 5 whose automorphism groups contain $(\mathbb{Z}/2\mathbb{Z})^3$

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Ohashi, Ryo, Kudo, Momonari
Format:	Preprint
Published:	2026
Subjects:	Algebraic Geometry Number Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The $a$-numbers of non-hyperelliptic curves of genus 3 with cyclic automorphism group of order 6
by: Ohashi, Ryo, et al.
Published: (2021)

Explicit construction of a plane sextic model for genus-five Howe curves, II
by: Kudo, Momonari
Published: (2024)

Some explicit arithmetic on curves of genus three and their applications
by: Moriya, Tomoki, et al.
Published: (2022)

Listing superspecial curves of genus three using Richelot isogeny graphs
by: Ohashi, Ryo, et al.
Published: (2024)

Non-hyperelliptic modular curves of genus 3
by: González-Jiménez, Enrique, et al.
Published: (2026)

A census of genus 6 curves over $\mathbb{F}_2$
by: Huang, Yongyuan, et al.
Published: (2024)

The local lifting problem for $(\mathbb{Z}/2\mathbb{Z})^3$
by: Pagot, Guillaume
Published: (2024)

2-descent for Bloch--Kato Selmer groups and rational points on hyperelliptic curves I
by: Dogra, Netan
Published: (2023)

Oort's conjecture and automorphisms of supersingular curves of genus four
by: Dragutinović, Dušan
Published: (2024)

Superspecial plane quintics with large automorphism groups
by: Ohashi, Ryo
Published: (2026)

Generalized Howe curves of genus 4, 5, and 6 with completely decomposable Jacobians
by: Ohashi, Ryo
Published: (2026)

Local heights on hyperelliptic curves and quadratic Chabauty
by: Betts, L. Alexander, et al.
Published: (2024)

Arithmetic of hyperelliptic curves over local fields
by: Dokchitser, Tim, et al.
Published: (2018)

CM theory, maximal hyperelliptic curves, and Chebyshev polynomials
by: Tafazolia, Saeed, et al.
Published: (2025)

Lower bounds on heights of odd degree points of hyperelliptic curves
by: Laga, Jef, et al.
Published: (2025)

Faltings elliptic curves in twisted $\mathbb Q$-isogeny classes
by: González-Jiménez, Enrique, et al.
Published: (2025)

Hasse principle violation for algebraic families of del Pezzo surfaces of degree 4 and hyperelliptic curves of genus congruent to 1 modulo 4
by: Huang, Kai, et al.
Published: (2023)

Manin's conjecture for semi-integral curves and $\mathbb A^1$-connectedness
by: Chen, Qile, et al.
Published: (2026)

Neighborhood of vertices in the isogeny graph of principally polarized superspecial abelian surfaces
by: Xu, Zheng, et al.
Published: (2023)

Transitivity of the $\mathbb{B}^+_\mathrm{dR}$-loop group action on Schubert cells
by: Howe, Sean
Published: (2025)

The modular automorphisms of quotient modular curves
by: Bars, Francesc, et al.
Published: (2025)

Rational torsion on hyperelliptic jacobian varieties
by: Kuru, Hamide, et al.
Published: (2024)

Cubic surfaces with infinite, discrete automorphism group
by: Kollár, János, et al.
Published: (2024)

Counting isomorphism classes of elliptic curves over $\mathbb{F}_q(t)$
by: Park, Jun-Yong
Published: (2025)

Mumford-type Shimura curves contained in the Torelli locus
by: Bouchet, Thomas, et al.
Published: (2025)

The de Jong fundamental group of $\mathbb{P}^1_C$ depends on $C$ and is not always topologically countably generated
by: Howe, Sean
Published: (2025)

Constructing genus 2 curves with given refined Humbert invariants
by: Kir, Harun
Published: (2026)

Adventures of Harish-Chandra in $\mathbb Z_2 \times \mathbb Z_2$-graded world
by: Chekeres, Olga, et al.
Published: (2026)

An arithmetic analog of Klein's classification of finite subgroups of $\mathrm{SL}_2(\mathbb{C})$
by: Liedtke, Christian, et al.
Published: (2025)

$\mathbb{G}_m$-cohomology of $p$-adic Stein spaces
by: Gilles, Sally, et al.
Published: (2026)

Quantitative rank distribution conjecture over $\mathbb{F}_q(t)$
by: Park, Jun-Yong
Published: (2024)

Boundary Cohomology of Sp6(Z): Trivial Representation
by: Mitoma, Ryuto
Published: (2026)

On abelian varieties whose torsion is not self-dual
by: Frei, Sarah, et al.
Published: (2023)

The Zilber-Pink conjecture for varieties not defined over $\overline{\mathbb Q}$
by: Klingler, Bruno, et al.
Published: (2025)

Non-$μ$-ordinary smooth cyclic covers of $\mathbb{P}^1$
by: Lin, Yuxin, et al.
Published: (2024)

On the Kummer pro-étale cohomology of $\mathbb B_{\operatorname{dR}}$
by: Shao, Xinyu
Published: (2025)

An unusual family of supersingular curves of genus five in characteristic two
by: Dragutinović, Dušan
Published: (2025)

Bordifications of the moduli spaces of tropical curves and abelian varieties, and unstable cohomology of $\mathrm{GL}_g(\mathbb{Z})$ and $\mathrm{SL}_g(\mathbb{Z})$
by: Brown, Francis
Published: (2023)

Powers of abelian varieties over $\overline{\mathbb Q(t)}$ not isogenous to a Jacobian
by: Fortman, Olivier de Gaay, et al.
Published: (2025)

Tempered vs generic automorphic functions and the canonical filtration on automorphic functions
by: Gaitsgory, Dennis, et al.
Published: (2026)