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Timeline for The smooth completion of a curve

Current License: CC BY-SA 4.0

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Feb 27, 2021 at 16:34 comment added R. van Dobben de Bruyn Also the complement is a closed subset of $C_1$, so the only possibilities are finite or all of $C_1$ (meaning $C = \varnothing$)...
Feb 27, 2021 at 14:50 vote accept oleout
Feb 27, 2021 at 9:46 answer added Alexander Betts timeline score: 2
Feb 27, 2021 at 8:22 comment added abx The answer to the first question is yes. To define $C_1$ you embed $C$ into some affine space $\mathbb{A}^n$, take its closure $C_0$ in $\mathbb{P}^n\supset \mathbb{A}^n$, and normalize. Then $C_0\smallsetminus C$ is a hyperplane section of $C_0$, hence finite, and remains finite in the normalization.
Feb 27, 2021 at 8:07 history asked oleout CC BY-SA 4.0