CNRS Poncelet

Conference "Zeta Functions"

June 21 - 25, 2010

Moscow, Russia

RAS Poncelet

Organisers: Michel Balazard (CNRS, Laboratoire Poncelet), Michael Tsfasman (CNRS, Laboratoire Poncelet, Institute for Information Transmission Problems), Alexey Zykin (Laboratoire Poncelet, State University Higher School of Economics)

French Russian

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

Alexey Zaytsev (Dublin)

Tuesday 22 June, 16:30 - 17:30


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.

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