Timeline for Is the restriction of an injective sheaf on a closed subscheme still injective?
Current License: CC BY-SA 4.0
6 events
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Apr 13, 2021 at 7:14 | comment | added | Stabilo | Outch! Thank you two very much, for both comments. | |
Apr 12, 2021 at 14:14 | comment | added | Bugs Bunny | And you do know that there is no left adjoint already in the affine case: math.stackexchange.com/questions/3055802/… | |
Apr 12, 2021 at 14:12 | comment | added | abx | This is not true. Take $X=\operatorname{Spec}(A) $, with $A$ a Gorenstein ring of Krull dimension $0$; then $\mathscr{O}_X$ is injective. Now take $Z= \operatorname{Spec}(B) $, where $B$ is a quotient of $A$ which is not Gorenstein; then $\mathscr{O}_Z=i^*\mathscr{O}_X$ is not injective. | |
Apr 12, 2021 at 13:58 | history | edited | Francesco Polizzi | CC BY-SA 4.0 |
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Apr 12, 2021 at 13:47 | history | edited | Stabilo | CC BY-SA 4.0 |
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Apr 12, 2021 at 12:52 | history | asked | Stabilo | CC BY-SA 4.0 |