Computing noncommutative global deformations of D-modules
Algebraic Geometry
2007-06-13 v2
Abstract
Let (X,D) be a D-scheme in the sense of Beilinson and Bernstein, given by an algebraic variety X and a morphism O_X -> D of sheaves of rings on X. We consider noncommutative deformations of quasi-coherent sheaves of left D-modules on X, and show how to compute their pro-representing hulls. As an application, we compute the noncommutative deformations of the left D_X-module O_X when X is any elliptic curve.
Cite
@article{arxiv.math/0612441,
title = {Computing noncommutative global deformations of D-modules},
author = {Eivind Eriksen},
journal= {arXiv preprint arXiv:math/0612441},
year = {2007}
}
Comments
8 pages, AMS-LaTeX, based on a talk I gave at the Baltic-Nordic Workshop in Lund, 12-14 October, 2006. Minor changes in v2