22 citations · 35 across the 11 of their papers we have counts for
9 papers · 1 filter
Rigid Dualizing Complexes via Differential Graded Algebras (Survey)
Amnon Yekutieli
In this article we survey recent results on rigid dualizing complexes over commutative algebras. We begin by recalling what are dualizing complexes. Next we define rigid complexes,…
Erratum to: Deformation Quantization in Algebraic Geometry
Amnon Yekutieli
This note contains a correction of the proofs of the main results of the paper [A. Yekutieli, Deformation quantization in algebraic geometry, Adv. Math. 198 (2005), 383-432]. The r…
Mixed Resolutions and Simplicial Sections
Amnon Yekutieli
We introduce the notions of mixed resolutions and simplicial sections, and prove a theorem relating them. This result is used (in another paper) to study deformation quantization i…
Deformation Quantization in Algebraic Geometry
Amnon Yekutieli
We study deformation quantizations of the structure sheaf O_X of a smooth algebraic variety X in characteristic 0. Our main result is that when X is D-affine, any formal Poisson st…
Dualizing Complexes and Perverse Sheaves on Noncommutative Ringed Schemes
Amnon Yekutieli, James J. Zhang
A quasi-coherent ringed scheme is a pair (X,A), where X is a scheme, and A is a noncommutative quasi-coherent O_X-ring. We introduce dualizing complexes over quasi-coherent ringed…
The Action of Adeles on the Residue Complex
Amnon Yekutieli
Let X be a scheme of finite type over a perfect field k. In this paper we study the relation between two important objects associated to X: the Grothendieck residue complex and the…