关于Hermite曲线及其与某些二次曲线的交线
On the Hermitian curve and its intersections with some conics
摘要：
本文对仿射平面上厄米曲线与抛物线的交点进行了完全分类。为了得到我们的结果，我们采用众所周知的代数方法的有限域和曲线自同构的几何性质。特别是，我们提供了明确的计数公式，也有一些埃尔米特码的应用。
英文摘要：
We classify completely the intersections of the Hermitian curve with parabolas in the affine plane. To obtain our results we employ well-known algebraic methods for finite fields and geometric properties of the curve automorphisms. In particular, we provide explicit counting formulas that have also applications to some Hermitian codes.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
