History of tag 0CKW
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assigned tag 0CKW
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2016-06-17 |
4d763d7
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Tags: Added new tags
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created statement with label lemma-finite-locally-free-base-change-cohomology in coherent.tex
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2016-06-16 |
ca262b9 |
Base change by finite locally free
Thanks to Ofer Gabber who writes:
Base change for quasi-coherent cohomology holds for a finite field
extension without the qcqs assumption, more generally if the ring
map R---->R' is s.t. R' is a f.g. projective R-module, X is
an R-scheme, F a quasi-coherent sheaf on X, X' &F' the base changes
to R', then for all p ,
H^p(X,F) tensor (over R) R' maps isomorphically to H^p(X',F').
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