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For questions about sheaves on a topological space.
2
votes
1
answer
475
views
Higher direct image with compact support of a constant sheaf
Let $f: X \to Y$ be a locally trivial fibration between locally compact spaces with fiber $F$. It is well known that for a constant sheaf $A_X$ on $X$, the higher direct images $R^n f_* A_X$ are local …
1
vote
Accepted
Higher direct image with compact support of a constant sheaf
With the information added in the last update, the result is already proved once you realize that the unit of the adjunction
$$ id \to a_{B,*} a_B^* $$
is actually an isomorphism on the category of ab …