Results 1 to 10 of about 299 (26)
Autour de la conjecture de Tate enti\`ere pour certains produits de dimension $3$ sur un corps fini [PDF]
Épijournal de Géométrie Algébrique, 2022 Let $X$ be the product of a surface satisfying $b_2=\rho$ and of a curve over a finite field. We study a strong form of the integral Tate conjecture for $1$-cycles on $X$.
Federico Scavia
doaj +1 more source
Reduction of Kummer surfaces modulo 2 in the non-supersingular case [PDF]
Épijournal de Géométrie Algébrique, 2023 We obtain necessary and sufficient conditions for the good reduction of Kummer surfaces attached to abelian surfaces with non-supersingular reduction when the residue field is perfect of characteristic 2.
Christopher Lazda, Alexei Skorobogatov
doaj +1 more source
The equivalence of several conjectures on independence of $\ell$ [PDF]
Épijournal de Géométrie Algébrique, 2020 We consider several conjectures on the independence of $\ell$ of the \'etale cohomology of (singular, open) varieties over $\bar{\mathbf F}_p$. The main result is that independence of $\ell$ of the Betti numbers $h^i_{\text{c}}(X,\mathbf Q_\ell)$ for ...
Remy van Dobben de Bruyn
doaj +1 more source
The most efficient indifferentiable hashing to elliptic curves of j-invariant 1728
Journal of Mathematical Cryptology, 2022 This article makes an important contribution to solving the long-standing problem of whether all elliptic curves can be equipped with a hash function (indifferentiable from a random oracle) whose running time amounts to one exponentiation in the basic ...
Koshelev Dmitrii
doaj +1 more source
Codes parameterized by the edges of a bipartite graph with a perfect matching
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this paper we study the main characteristics of some evaluation codes parameterized by the edges of a bipartite graph with a perfect matching.
Sarabia Manuel González +1 more
doaj +1 more source
Vanishing Ideals Over Odd Cycles
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 Let K be a finite field. Let X* be a subset of the a ne space Kn, which is parameterized by odd cycles. In this paper we give an explicit Gröbner basis for the vanishing ideal, I(X*), of X*.
Uribe-Paczka M. Eduardo +2 more
doaj +1 more source
The groups of points on abelian varieties over finite fields
Open Mathematics, 2010 Rybakov Sergey
doaj +1 more source
Equations in simple matrix groups: algebra, geometry, arithmetic, dynamics
Open Mathematics, 2014 Bandman Tatiana +2 more
doaj +1 more source
Abelian varieties of prescribed order over finite fields. [PDF]
Math Annvan Bommel R +4 more
europepmc +1 more source