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Mar 15, 2021 at 9:10 comment added Jérôme Poineau In case other people wonder, when you write that $C$ is a regular curve over $k$, you really mean some possibly quite abstract scheme purely of dimension 1 with a morphism to Spec$(k)$ (with no finiteness assumptions involved), right? For instance $C=$Spec$(k[[t]])$ is fine, I guess.
Mar 15, 2021 at 2:09 history answered Joel Kamnitzer CC BY-SA 4.0