Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9518162 | Advances in Mathematics | 2005 | 50 Pages |
Abstract
We study deformation quantizations of the structure sheaf OX of a smooth algebraic variety X in characteristic 0. Our main result is that when X is D-affine, any formal Poisson structure on X determines a deformation quantization of OX (canonically, up to gauge equivalence). This is an algebro-geometric analogue of Kontsevich's celebrated result.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Amnon Yekutieli,