After reviewing’some preliminary general nonsense, we discuss the basic formalism of the
functor f#: D qc + (Y) → D qc (X) (resp. f D qc + (Y) → D qc + (X)) for a smooth (resp. finite) …

… Our approach to Grothendieck duality is the approach of … We will be examining the behavior
of relative duality for a … [Con00] on Grothendieck duality concerning base change for relative …

… In what follows, “the book” refers to Grothendieck duality and base change in its original form…
of which affect the general foundations of duality theory or homological algebra used in the …

… [2] on base change for duality can be attacked without … of schemes (whose duality under
base change we are examining) is … We also have results for base change for smooth maps—the …

… We give several related versions of global Grothendieck Duality for unbounded complexes
on noetherian formal schemes. The proofs, based on a non-trivial adaptation of Deligne’s …

… The second, Tor-independent Base Change—the subject of this lecture— … Base Change,
we’ll get sheafied duality (in more general form than before), containing not only Global Duality, …

… foundations of Grothendieck Duality—existence and tor-independent base change for the
… properties are proved, including Grothendieck duality for proper morphisms, and flat base …

… The basic facts about this pseudofunctor—which may be seen as the main … flat base change,
Theorems (4.8.1) and (4.8.3). The abstract theory begins with Theorem (4.1) (Global Duality)…

… We will see that Grothendieck duality is an immediate consequence. Even the non–… The
point of this article is that Grothendieck duality is very easy to prove by homotopy theoretic …

… flat base change, we first prove that duality … base change we are able to prove Serre Duality
for Deligne-Mumford stacks smooth and proper over an algebraically closed field and duality …