Timeline for Base change of schemes preserves $\mathbb{A}^1$-contractibility
Current License: CC BY-SA 4.0
5 events
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Mar 13, 2022 at 18:53 | history | edited | Maxime Ramzi | CC BY-SA 4.0 |
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Mar 9, 2022 at 18:01 | comment | added | Maxime Ramzi | If $S_1\to S_2$ is smooth, then the same proof works. Otherwise, I don't know but would expect not | |
Mar 9, 2022 at 17:59 | comment | added | Biman Roy | Is it true for any morphism between schemes i.e. for a morphism $f:S_1 \to S_2$ between schemes and $X \in Sm/S_2$ is $\mathbb{A}^1$-contractible then is $X_{S_1}$ (base change) $\mathbb{A}^1$-contractible? Please suggest a reference for general case. | |
Mar 9, 2022 at 17:50 | history | edited | Maxime Ramzi | CC BY-SA 4.0 |
added 19 characters in body
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Mar 9, 2022 at 16:59 | history | answered | Maxime Ramzi | CC BY-SA 4.0 |