Timeline for Restriction of sheaf
Current License: CC BY-SA 4.0
6 events
when toggle format | what | by | license | comment | |
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Jul 30, 2022 at 16:12 | history | edited | LSpice | CC BY-SA 4.0 |
Link to @WillSawin's remark, while this is on the front page
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Nov 21, 2012 at 12:12 | history | edited | Henri | CC BY-SA 3.0 |
added 276 characters in body
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Nov 21, 2012 at 10:11 | comment | added | Henri | In particular, as $X$ is smooth hence normal, the desired property holds as soon as $U$ has codimension at least $2$. | |
Nov 21, 2012 at 10:06 | comment | added | Henri | Thanks, you are perfectly right! (I had in mind a morphism with connected fibers) So here here one can just say that $i_*i^*F= i_* \mathcal O_X \otimes F$. | |
Nov 21, 2012 at 8:39 | comment | added | Will Sawin | You need the assumption $f_* \mathcal O_U=\mathcal O_X$, which is not satisfied for all open immersions. | |
Nov 21, 2012 at 8:03 | history | answered | Henri | CC BY-SA 3.0 |