3 papers
math.NT2002
Some genus 3 curves with many points
Roland Auer, Jaap Top
Using an explicit family of plane quartic curves, we prove the existence of a genus 3 curve over any finite field of characteristic 3 whose number of rational points stays within a…
math.NT2001
Legendre elliptic curves over finite fields
Roland Auer, Jaap Top
We show that every elliptic curve over a finite field of odd characteristic whose number of rational points is divisible by 4 is isogenous to an elliptic curve in Legendre form, wi…
math.AG1998
Ray class fields of global function fields with many rational places
Roland Auer
A general type of ray class fields of global function fields is investigated. The systematic computation of their genera leads to new examples of curves over finite fields with com…