Timeline for The smooth completion of a curve
Current License: CC BY-SA 4.0
5 events
when toggle format | what | by | license | comment | |
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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 |