4 papers
The Simplicial Cylinder DG Ring
Amnon Yekutieli
The Keller cylinder DG ring encodes homotopies between DG ring homomorphisms . Recently we discovered the higher cylinder DG rings , which assemble in…
Derived Complete Complexes at Weakly Proregular Ideals
Amnon Yekutieli
Weak proregularity of an ideal in a commutative ring is a subtle generalization of the noetherian property of the ring. Weak proregularity is of special importance for the study of…
On Adically Complete D-Modules in Characteristic Zero
Amnon Yekutieli
Let (X, O_X) be an algebraic manifold in characteristic 0, or an analytic manifold over \C. A standard theorem says that a left D_X-module M, which is coherent as an O_X-module, is…
Rigid Dualizing Complexes over Commutative Rings and their Functorial Properties
Mattia Ornaghi, Saurabh Singh, Amnon Yekutieli
In this paper we treat Grothendieck Duality for noetherian rings via rigid dualizing complexes. In particular, we prove that every ring, essentially finite type over a regular base…