Corrigendum to: Improved upper bounds for the number of points on curves over finite fields

Everett Howe, Kristin Lauter
2007 Annales de l'Institut Fourier  
We correct an error in Section 7 of our paper "Improved upper bounds for the number of points on curves over finite fields." The error involves a standard form for triple covers of elliptic curves in characteristic 3, and it invalidates the arguments we used to show that two particular polynomials do not occur as Weil polynomials of curves over a finite field. We sketch two new arguments that prove that these Weil polynomials do not occur.
doi:10.5802/aif.2284 fatcat:ktuanjpq3rabfcg6ux6rguh2ly