CNRS Poncelet

Conférence "Zeta Functions"

21 - 25 juin 2010

Moscou, Russie

 RAS Poncelet

Organisateurs: Michel Balazard (CNRS, Laboratoire Poncelet), Michael Tsfasman (CNRS, Laboratoire Poncelet, Institut des Problèmes de Transmission de l'Information), Alexey Zykin (Laboratoire Poncelet, Haute Ecole d'Economie)

English Russian

The Number of Rational Points On Genus 4 Hyperelliptic Supersingular Curves in Characteristic 2

Alexey Zaytsev (Dublin)

Mardi 22 juin, 16:30 - 17:30

Résumé

One of the big questions in the area of curves over finite fields concerns the distribution of the numbers of points: Which numbers are possible as the number of points on a curve of genus $g$? The same question applies to various subclasses of curves. In this talk we classify the possibilities for the number of points on genus 4 hyperelliptic supersingular curves over finite fields of order $2^n$, $n$ odd.

Laboratoire Poncelet