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Timeline for Restriction of sheaf

Current License: CC BY-SA 4.0

6 events
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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
Nov 21, 2012 at 12:12 history edited Henri CC BY-SA 3.0
added 276 characters in body
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