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A subset $U\subseteq X$ is locally-basic open, if for each point, it is of the form $D(f)$.
Then the inclusion $i$ of this subset has affine fibers and therefore induces an isomorphism on cohomology $H^k(U,F)\cong H^k(X,i_*F)$
The text was updated successfully, but these errors were encountered:
felixwellen
changed the title
Locally-standard open subtypes have cohomology stable push forward
Locally-basic open subtypes have cohomology stable push forward
Mar 19, 2024
A subset$U\subseteq X$ is locally-basic open, if for each point, it is of the form $D(f)$ .$i$ of this subset has affine fibers and therefore induces an isomorphism on cohomology
$H^k(U,F)\cong H^k(X,i_*F)$
Then the inclusion
The text was updated successfully, but these errors were encountered: