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date: 2022-02-23 18:45
modification date: Monday 4th April 2022 00:46:37
title: "Tsen's theorem"
aliases: [Tsen's theorem]

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# Tsen's theorem

Last time we were discussing Tsen's theorem. The main statement was that if you have an étale $\mathbb{P}^{1}$ bundle over a smooth curve, it is a Zariski $\mathbb{P}^{1}$ bundle.

![](attachments/Pasted%20image%2020220404004641.png)