On the 1-pointed curves arising as étale covers of the affine line in positive characteristic
On the 1-pointed curves arising as étale covers of the affine line in positive characteristic
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论作为仿射线的正特征覆盖的 1 点曲线
DOI：
10.1007/s00209-007-0192-6
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发表时间：
2003
影响因子：
0.8
通讯作者：
L. Zapponi
中科院分区：
文献类型：
--
作者：
L. Zapponi
本文的目的是研究具有正特征的光滑投影曲线，使单点的补作为仿射线的一个可变覆盖。第一初等方法导致了对这些曲线上的一类特殊的微分形式的研究。基于Serre二元性的更精细的分析可以确定这种覆盖的最小程度。这种方法特别适用于显式计算。
The aim of this paper is to study smooth projective curves in positive characteristic such that the complement of a single point arise as an étale cover of the affine line. A first elementary approach leads to the study of a particular class of differential forms on these curves. A finer analysis, based on Serre duality, allows to determine the minimal degree of such a cover. This approach is particularly adapted to explicit computations.