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20032005
most citedDeformation Quantization in Algebraic Geometry

7 citations · 11 across the 6 of their papers we have counts for

collaborators

6 papers

math.RT2005

An Averaging Process for Unipotent Group Actions

Amnon Yekutieli

We present an averaging process for sections of a torsor under a unipotent group. This process allows one to integrate local sections of such a torsor into a global simplicial sect…

math.AG2005

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…

math.QA20054 cited

Continuous and Twisted L_infinity Morphisms

Amnon Yekutieli

The purpose of this paper is to develop a suitable notion of continuous L_infinity morphism between DG Lie algebras, and to study twists of such morphisms.

math.RA2004

Homological Transcendence Degree

Amnon Yekutieli, James J. Zhang

Let D be a division algebra over a base field k. The homological transcendence degree of D, denoted by Htr D, is defined to be the injective dimension of the enveloping algebra of…

math.OC2004

On the Structure of Behaviors

Amnon Yekutieli

A behavior is a closed shift invariant subspace of the space of sequences with entries in a field k. We work out an explicit duality for k-modules. This duality is then used to der…

math.AG20037 cited

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…