" Ha habido muy pocas exposiciones sistemáticas de la teoría de las categorías derivadas
desde su inicio en el trabajo de Grothendieck y Verdier en la década de 1960. Este libro es …

The Continuous Hochschild Cochain Complex of a Scheme Page 1 Canad. J. Math. Vol. 54
(6), 2002 pp. 1319–1337 The Continuous Hochschild Cochain Complex of a Scheme Amnon …

For Y a closed normal subvariety of codimension c of a smooth ℂ–variety X, Brylinski and
Kashiwara showed that the local cohomology module ℋ c Y (X, X) contains a unique simple …

We construct adelic objects for rank two integral structures on arithmetic surfaces and
develop measure and integration theory, as well as elements of harmonic analysis. Using …

A quasi-coherent ringed scheme is a pair (X, A), where X is a scheme, and A is a
noncomutative quasi-coherent O _X-ring. We introduce dualizing complexes over quasi …

In this paper we present a new approach to Grothendieck duality over commutative rings.
Our approach is based on the idea of rigid dualizing complexes, which was introduced by …

SMOOTH FORMAL EMBEDDINGS AND THE RESIDUE COMPLEX Page 1 Can. J. Math.
Vol. 50 (4), 1998 pp. 863–896. SMOOTH FORMAL EMBEDDINGS AND THE RESIDUE …

Residue complexes were introduced by Grothendieck in algebraic geometry. These are
canonical complexes of injective modules that enjoy remarkable functorial properties …

This article considers cuspidal curves whose coordinate rings are numerical semigroup
algebras. Their rings of differential operators are shown to be cocommutative and …

0.1. Consider the Zariski site on the category V of connected algebraic schemes over a
perfect field k. Denote the structure sheaf on this site by the symbol 0. We assume familiarity …