关于Artin-Schreier曲线的射影正态性

Le Matematiche Pub Date : 2012-05-24 DOI:10.4418/2013.68.2.6

E. Ballico, A. Ravagnani

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摘要

本文研究了特征为p的域F上由方程y^q+y= F (x)定义的某些Artin-Schreier曲线Y_f的射影正态性，其中q是p的幂次，F[x]中的F是x的m次多项式，且(m,p)=1。许多Y_f曲线是奇异的，因此，准确地说，我们在这里研究了适当的射影模型的射影正态性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the projective normality of Artin-Schreier curves

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.

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Le Matematiche

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