39 citations · 244 across the 55 of their papers we have counts for
63 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…
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…
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…
Improved Kunneth Tricks
Amnon Yekutieli
The Kunneth trick is a formula for the top cohomology of the derived tensor product of two complexes of modules over a ring. In this note we present two improvements of this formul…
Quasi-Isomorphisms of Commutative DG Rings and Divided Power Structures
Amnon Yekutieli
We prove that a quasi-isomorphism between commutative DG rings, where admits a divided power structure, can be factored as , where $e : A \…