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Bounding Tangencies of Sections on Elliptic Surfaces
International Mathematics Research Notices ( IF 0.9 ) Pub Date : 2020-09-02 , DOI: 10.1093/imrn/rnaa222
Douglas Ulmer 1 , Giancarlo Urzúa 2
Affiliation  

Given an elliptic surface $\mathcal{E}\to\mathcal{C}$ over a field $k$ of characteristic zero equipped with zero section $O$ and another section $P$ of infinite order, we give a simple and explicit upper bound on the number of points where $O$ is tangent to a multiple of $P$.

中文翻译:

椭圆曲面上截面的边界切线

给定一个椭圆面 $\mathcal{E}\to\mathcal{C}$ 在特征零的域 $k$ 上配备零截面 $O$ 和另一个无限阶截面 $P$,我们给出了一个简单而明确的$O$ 与$P$ 的倍数相切的点数的上限。
更新日期:2020-09-02
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