Timeline for Is a locally free sheaf projective in the category of $\mathcal{O}_X$-modules when $X$ is an affine scheme?
Current License: CC BY-SA 3.0
5 events
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
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| Dec 1, 2016 at 16:48 | comment | added | Daniel Miller | The lower shriek is this case is just extension by zero, so $\Gamma(W, i_! \mathcal{O}_U) = \Gamma(W,\mathcal{O}_U)$ if $W\subset U$, and $0$ otherwise. So in this case $\Gamma(i_! \mathcal{O}_U) = \Gamma(i_! \mathcal{O}_V) = 0$, since $U$ and $V$ are strict subsets of $X$. | |
| Dec 1, 2016 at 13:49 | comment | added | user113988 | Sorry for obvious question. Why is $\Gamma(i_! \mathcal{O}_U) \oplus \Gamma(i_! \mathcal{O}_V) = 0$? | |
| Mar 17, 2015 at 19:29 | vote | accept | Zhaoting Wei | ||
| Mar 17, 2015 at 17:49 | history | answered | Daniel Miller | CC BY-SA 3.0 |