… cohomology of singular algebraic varieties, we recommend [140]; for a sheaf-theoretic
introduction directed more toward applications to characteristic classes, we suggest [11]. …

… wants to recover classical properties of homology (eg, … an application of Poincaré duality,
in Chapter 3, we explain how the duality pairing on the middle-perversity intersection homology …

… In the last section, we provide some applications of intersection homology, for example …
It must be said that the main application and source, itself, of innumerable applications is the …

Homological algebra of modules over posets is developed, as closely parallel as possible
to that of finitely generated modules over noetherian commutative rings, in the direction of …

… of finite projective dimension, gives us the following application to the intersection … for
generically almost complete intersection ideals. Its proof contains a proof of the above fact and is …

… The main objects of study are certain DG modules over a … (co)homological information about
pairs of DG modules over a … pairs of complexes over a complete intersection. Furthermore, …

… some power of I. In the 50 years since their introduction, these groups and modules have found
wide application in … And now, we will see that when V is a local complete intersection, the …

… We study homological properties of a locally complete intersection ring by importing facts
from homological algebra over exterior algebras. One application is showing that the thick …

… homology of any almost complete intersection, as well as for all positive Koszul homologies
of certain system of parameters which exist in some … besides its key application in the proof of …

… As an application, we investigate the Gorenstein version of the New Intersection Theorem.
The second chapter studies the notion of cofiniteness for modules and complexes set forth by …