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arXiv · 1205.5420

Projective normality of Artin-Schreier curves

Edoardo Ballico·Alberto Ravagnani
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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 normalizations.

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Edoardo Ballico, Alberto Ravagnani. 2013-09-04. Projective normality of Artin-Schreier curves. https://arxiv.org/abs/1205.5420

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