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arXiv · 2002.01906

Bounding tangencies of sections on elliptic surfaces

Douglas Ulmer·Giancarlo Urzúa
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Abstract

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 $P$.

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Douglas Ulmer, Giancarlo Urzúa. 2020-02-05. Bounding tangencies of sections on elliptic surfaces. https://arxiv.org/abs/2002.01906

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