On the projective normality of Artin-Schreier curves

Authors

  • Alberto Ravagnani University of Neuchâtel
  • Edoardo Ballico University of Trento

Keywords:

Artin-Schreier curve, projective normality

Abstract

In this paper we study the projective normality of certain Artin-Schreier curves Y_f defined over a field F of characteristic p by the equations y^q+y=f(x), q being a power of p and f in F[x] being a polynomial in x of degree m, with (m,p)=1. Many Y_f curves are singular and so, to be precise, here we study the projective normality of appropriate projective models of their normalization.

Author Biographies

  • Alberto Ravagnani, University of Neuchâtel
    Department of Mathematics
  • Edoardo Ballico, University of Trento
    Department of Mathematics

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Published

2013-10-21

Issue

Section

Articoli