Cover Image

Polarizations of abelian varieties over finite fields via canonical liftings

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Bergström, Jonas, Karemaker, Valentijn, Marseglia, Stefano
Format:	Preprint
Published:	2021
Subjects:	Number Theory Algebraic Geometry 14K15 (Primary) 14G15, 11G10, 11G25, 14-04 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

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

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

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

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

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

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

Isogeny graphs of abelian varieties and singular ideals in orders
by: Arpin, Sarah, et al.
Published: (2025)

Existence of simple non-cyclic abelian varieties over arbitrary finite fields and of a given dimension $g>1$
by: Maidana, Alejandro J. Giangreco
Published: (2025)

Existence of global Néron models beyond semi-abelian varieties
by: Overkamp, Otto, et al.
Published: (2023)

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

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

When is a polarised abelian variety determined by its $\boldsymbol{p}$-divisible group?
by: Ibukiyama, Tomoyoshi, et al.
Published: (2022)

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

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

Lehmer-Type bounds and counting rational points of bounded heights on Abelian varieties
by: Kumar, Narasimha, et al.
Published: (2023)

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

Variation of height in an isogeny class over a function field
by: Griffon, Richard, et al.
Published: (2025)

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

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

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

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

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

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

Supersingular Ekedahl-Oort strata and Oort's conjecture
by: Karemaker, Valentijn, et al.
Published: (2024)

Square values of several polynomials over a finite field
by: Slavov, Kaloyan
Published: (2024)

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

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

Finiteness and cofiniteness of fine Selmer groups over function fields
by: Ghosh, Sohan, et al.
Published: (2024)

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

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

Estimates on the number of rational solutions of Markoff-Hurwitz equations over finite fields
by: Abdon, Miriam, et al.
Published: (2025)

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

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

Kernels of Arithmetic Jet Spaces and Frobenius Morphism
by: Mishra, Rajat Kumar, et al.
Published: (2026)

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

The image of the adelic Galois representation of an elliptic curve with complex multiplication
by: Lozano-Robledo, Álvaro, et al.
Published: (2026)

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

Finiteness properties of torsion fields of abelian varieties
by: Gajda, Wojciech, et al.
Published: (2024)