Projective normality of Artin-Schreier curves

الأصل · EN

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