Cover Image

Reduction of Kummer surfaces modulo 2 in the non-supersingular case

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Lazda, Christopher, Skorobogatov, Alexei
Format:	Preprint
Published:	2022
Subjects:	Number Theory Algebraic Geometry 11G25 (Primary) 11G10, 14G15, 14G20 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

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

Abelian varieties over finite fields with commutative endomorphism algebra: theory and algorithms
by: Bergström, Jonas, et al.
Published: (2024)

Polarizations of abelian varieties over finite fields via canonical liftings
by: Bergström, Jonas, et al.
Published: (2021)

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

Explicit supersingular cyclic curves
by: Streng, Marco
Published: (2025)

Duality invariance of Faltings heights, Hodge line bundles and global periods
by: Suzuki, Takashi
Published: (2025)

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

Special Values without Semi-Simplicity Via K-Theory
by: Hyslop, Logan
Published: (2024)

Anabelian properties of tame fundamental groups of singular curves
by: Murotani, Takahiro
Published: (2025)

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

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

Zero cycles on products of elliptic curves over local fields with supersingular reduction
by: Castano, Alejandro De Las Penas
Published: (2025)

Geometrically simple counterexamples to a local-global principle for quadratic twists
by: Ambrosi, Emiliano, et al.
Published: (2025)

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

Tate classes on self-products of Abelian varieties over finite fields
by: Zarhin, Yuri G.
Published: (2020)

On the finiteness of maps into simple abelian varieties satisfying certain tangency conditions
by: Bartsch, Finn
Published: (2025)

The relatively perfect Greenberg transform and cycle class maps
by: Bertapelle, Alessandra, et al.
Published: (2020)

Monodromy Groups of Supersingular Abelian Surfaces over $\mathbb{Q}_p$
by: Chen, Moqing
Published: (2025)

Rational Points in Weighted Projective Spaces over Finite Fields
by: Salami, Sajad, et al.
Published: (2025)

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

Isogeny graphs of superspecial abelian varieties and Brandt matrices
by: Jordan, Bruce W., et al.
Published: (2020)

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

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

Arithmetic rank bounds for abelian varieties over function fields
by: Boudreau, Félix Baril, et al.
Published: (2023)

Tame proper base change for discretely ringed adic spaces
by: Hübner, Katharina
Published: (2025)

Pullback Method with Applications to Severi--Brauer Fibrations
by: Biswas, Mridul, et al.
Published: (2024)

Counting points on superelliptic curves in average polynomial time
by: Sutherland, Andrew V.
Published: (2020)

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

Weak weak approximation and the Hilbert property for degree-two del Pezzo surfaces
by: Demeio, Julian Lawrence, et al.
Published: (2023)

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

Polarizations, torsors and theta groups
by: Laga, Jef
Published: (2025)

Rational points on smooth surfaces in $\mathbb{P}^3$ over finite fields
by: Aubry, Yves, et al.
Published: (2026)

Squares in arithmetic progression over certain non-primitive quartic number fields
by: González-Jiménez, Enrique, et al.
Published: (2026)

Hypersurfaces passing through the Galois orbit of a point
by: Asgarli, Shamil, et al.
Published: (2025)

Producing supersingular curves of genus five
by: Booher, Jeremy, et al.
Published: (2024)

Maximal curves of genus 5 over finite fields
by: Nkuete, Leolin, et al.
Published: (2025)

Local constancy of reduction type and related invariants for curves in $p$-adic families
by: Schrettner, Jakab
Published: (2025)

Enumerating hyperelliptic curves over finite fields in quasilinear time
by: Howe, Everett W.
Published: (2024)

Rings of Hilbert modular forms, computations on Hilbert modular surfaces, and the Oda-Hamahata conjecture
by: Logan, Adam
Published: (2024)