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7 votes

When does the sheaf direct image functor f_* have a right adjoint?

Provided that $X$ is quasi-compact and separated and $f$ is separated then what is true is that $Rf_\ast \colon \operatorname{D}(X) \to \operatorname{D}(Y)$ has a right adjoint $f^!$ where these are t …
Greg Stevenson's user avatar