论文标题
在任何特征中的理性椭圆表面上圆锥捆的分类
Classification of conic bundles on a rational elliptic surface in any characteristic
论文作者
论文摘要
令$ x $为一个有理椭圆形的表面，具有椭圆纤维$π：x \ to \ bbb {p}^1 $，在任何特征的代数闭合字段$ k $上。给定一个圆锥束$φ：x \ to \ bbb {p}^1 $，我们使用数值参数对$φ$的所有可能的纤维进行分类，并研究$π$和$φ$的单数纤维之间的相互作用。
Let $X$ be a rational elliptic surface with elliptic fibration $π:X\to\Bbb{P}^1$ over an algebraically closed field $k$ of any characteristic. Given a conic bundle $φ:X\to\Bbb{P}^1$ we use numerical arguments to classify all possible fibers of $φ$ and study the interplay between singular fibers of $π$ and $φ$.
