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5
votes
Accepted
is this intersection complex a sheaf?
The answer is yes. (I suppose that $V=E$ in your statement.) This might be too complicated, and it's messy, but it's the first that came to mind. (The idea is really quite simple.)
I will write $j_*$ …
9
votes
Accepted
Pullbacks of intermediate/middle extensions and Gabber's purity theorem
Note : [BBD]=Astérisque 100 by Beilinson-Bernstein-Deligne
The answer to the first question is basically Deligne's "generic base change", by which I mean theorem 1.9 of SGA 4 1/2 [Th. finitude].
I s …