Relation between two twisted inverse image pseudofunctors in duality theory
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Iyengar, Srikanth
Lipman, Joseph
Neeman, Amnon
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London Mathematical Society
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Grothendieck duality theory assigns to essentially finite-type maps f of noetherian schemes a pseudofunctor f× right-adjoint to Rf∗, and a pseudofunctor f! agreeing with f× when f is proper, but equal to the usual inverse image f∗ when f is étale.
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Compositio Mathematica