Results 1 to 10 of about 323 (40)

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

UNIRATIONALITY OF CUBIC HYPERSURFACES [PDF]

Journal of the Institute of Mathematics of Jussieu, 2000
Segre proved that a smooth cubic surface over $Q$ is unirational if and only if it has a rational point. We prove that the result also holds for cubic hypersurfaces over any field, including finite fields.
J. Kollár
semanticscholar   +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, Villarreal Rafael H.   +1 more
doaj   +1 more source

Compactification of a Drinfeld period domain over a finite field [PDF]

, 2010
We study a certain compactification of the Drinfeld period domain over a finite field which arises naturally in the context of Drinfeld moduli spaces. Its boundary is a disjoint union of period domains of smaller rank, but these are glued together in a ...
R. Pink, Simon Schieder
semanticscholar   +1 more source

SINGULAR CURVES OVER A FINITE FIELD AND WITH MANY POINTS [PDF]

, 2011
Recently Fukasawa, Homma and Kim introduced and studied certain projective singular curves over Fq with many extremal properties. Here we extend their definition to more general non-rational curves.
E. Ballico
semanticscholar   +1 more source

Rank one case of Dwork's conjecture [PDF]

, 2000
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY Volume 00, Number 0, Xxxx XXXX, Pages 000–000 S 0894-0347(XX)0000-0 arXiv:math/0005308v1 [math.NT] 9 May 2000 RANK ONE CASE OF DWORK’S CONJECTURE DAQING WAN 1.
D. Wan
semanticscholar   +1 more source

Higher rank case of Dwork's conjecture [PDF]

, 2000
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY Volume 00, Number 0, Xxxx XXXX, Pages 000–000 S 0894-0347(XX)0000-0 arXiv:math/0005309v1 [math.NT] 9 May 2000 HIGHER RANK CASE OF DWORK’S CONJECTURE DAQING WAN Dedicated to the memory of Bernard Dwork 1 ...
D. Wan
semanticscholar   +1 more source