Optimal curves of genus 1,2 and 3

Abstract

In this survey, we discuss the problem of the maximum number of points of curves of genus 1,2 and 3 over finite fields

18 pages. To appear in "Publications Mathematiques de Besancon(PMB)"

References in corpus (4)

• Explicit computations of Serre's obstruction for genus 3 curves and application to optimal curves
• Courbes de genre 3 avec S3 comme groupe d'automorphismes
• Optimal Curves of Genus 3 over Finite Fields with Discriminant -19
• On the Torelli problem and Jacobian Nullwerte in genus three