Relation between two twisted inverse image pseudofunctors in duality theory

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Relation between two twisted inverse image pseudofunctors in duality theory

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. We define and study a canonical map from the first pseudofunctor to the second. This map behaves well with respect to flat base change, and is taken...

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ژورنال

عنوان ژورنال: Compositio Mathematica

سال: 2014

ISSN: 0010-437X,1570-5846

DOI: 10.1112/s0010437x14007672