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YCor
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Capitalise title, and delete "thanks", while this is on the front page
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restriction Restriction of sheaf

supposeSuppose $X$ 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 $F$  ?

thanks.

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 $F$  ?

thanks.

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 $F$?

Corrected the LaTeX typesetting.
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suppose X$X$ is a smooth variety and F$F$ is a locally free sheaf on X$X$. Let U$U$ be an open subset of X$X$ and i$i$ denote the inclusion map. Is i_*i^*F$i_*i^*F$ equal to F$F$ ?

thanks.

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 ?

thanks.

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 $F$ ?

thanks.

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