Timeline for Moving lemma for countable collection of subvarieties
Current License: CC BY-SA 4.0
9 events
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May 4, 2022 at 17:54 | vote | accept | user45397 | ||
May 4, 2022 at 11:57 | comment | added | user45397 | @EvgenyShinder Thanks for the answer. | |
May 4, 2022 at 7:39 | comment | added | Evgeny Shinder | In the parameter space of all lines passing through $p$ (this is a projective space), interesecting a codimension two subvariety away from $p$ is a proper closed condition. Hence we are asking whether this projective space can be covered by countably many proper closed subvarieties, which is not the case. Thus there exsits a line with the required properties. | |
May 3, 2022 at 21:03 | answer | added | Will Sawin | timeline score: 2 | |
May 3, 2022 at 20:27 | answer | added | pinaki | timeline score: 1 | |
May 3, 2022 at 16:40 | comment | added | user45397 | @Wojowu Yes, the underlying field is $\mathbb{C}$. I have made it explicit in the question. | |
May 3, 2022 at 16:39 | history | edited | user45397 | CC BY-SA 4.0 |
added 13 characters in body
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May 3, 2022 at 14:05 | comment | added | Wojowu | Are you working over $\mathbb C$? This is obviously false over countable fields. | |
May 3, 2022 at 12:51 | history | asked | user45397 | CC BY-SA 4.0 |