Results 21 to 26 of about 299 (26)
On classification of groups of points on abelian varieties over finite fields [PDF]
In this paper we improve our previous results on classification of groups of points on abelian varieties over finite fields. The classification is given in terms of the Weil polynomial of abelian varieties in a given $k$-isogeny class.Comment: 9 ...
Rybakov, Sergey
core
Exceptional covers and bijections on rational points
We show that if f: X --> Y is a finite, separable morphism of smooth curves defined over a finite field F_q, where q is larger than an explicit constant depending only on the degree of f and the genus of X, then f maps X(F_q) surjectively onto Y(F_q) if ...
E. Zieve +3 more
core +3 more sources
The minimum and maximum number of rational points on jacobian surfaces over finite fields
We give some bounds on the numbers of rational points on abelian varieties and jacobians varieties over finite fields. The main result is that we determine the maximum and minimum number of rational points on jacobians varieties of dimension ...
Haloui, Safia
core +2 more sources
Motivic integration and the Grothendieck group of pseudo-finite fields
We survey our recent work on an extension of the theory of motivic integration, called arithmetic motivic integration. We developed this theory to understand how p-adic integrals of a very general type depend on p.Comment: 11 ...
Denef, J., Loeser, F.
core +1 more source
A taste of Weil theory in characteristic one
In this very short and sketchy chapter, we draw some pictures on the arithmetic theory of $\mathbb{F}_1$.Comment: 23 pages; to appear as a chapter in the monograph "Absolute Arithmetic and $\mathbb{F}_1$-Geometry" (ed. K.
Thas, Koen
core
Pre-surgical cryoablation in ≤ 2 cm ER + /HER2-tumors. Prognostic factors for the presence of residual invasive carcinoma. [PDF]
Roca Navarro MJ +11 more
europepmc +1 more source

