Results 21 to 26 of about 299 (26)

On classification of groups of points on abelian varieties over finite fields [PDF]

open access: yes, 2015
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

open access: yes, 2007
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

open access: yes, 2010
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

open access: yes, 2002
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

open access: yes, 2015
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]

open access: yesBreast Cancer Res Treat
Roca Navarro MJ   +11 more
europepmc   +1 more source

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