论文标题
关于Unicpidal Ronication曲线的高态性和规范模型
On Gonality and Canonical Models of Unicuspidal Rational Curves
论文作者
论文摘要
我们研究了一个合理的单一沿着曲线的高态性和规范模型。我们主要对C是非gorenstein的情况感兴趣。我们通过不同的gonality概念及其规范模型C'对此类曲线进行了分类，直到6属。我们通过更一般的任意属曲线家庭来做到这一点。之后，我们获得了一个通用公式，用于包含C'的固定程度的高空空间的尺寸，我们适用于某些特定情况。
We study the gonality and canonical model of a rational unicuspidal curve C. We are mainly interested in the case where C is non-Gorenstein. We classify such curves via different notions of gonality, and by its canonical model C', up to genus 6. We do it by means of more general families of curves of arbitrary genus. Afterwards, we get a general formula for the dimension of the space of hypersurfaces of a fixed degree containing C', which we apply to some particular cases.
