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1
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coherent sheaves
suppose $X$ is a smooth variety, with a finite open covering $U_i, i=1,....,k$.
$F$ and $G$ are coherent sheaves on $X$, and $G$ is locally free.
Suppose on each $U_i$, there is a sheaf morphism $h_i …
3
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3
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802
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Restriction of sheaf
Suppose $X$ is a smooth variety and $F$ is a locally free sheaf on $X$. Let $U$ be an open subset of $X$ and $i$ denote the inclusion map.
Is $i_*i^*F$ equal to $F$?