Computing noncommutative global deformations of D-modules

Details Computing noncommutative global deformations of D-modules Computing noncommutative global deformations of D-modules

2006-12-15

arxiv.org/abs/math/0612441v2

Mathematics

Algebraic Geometry

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

Scientific paper

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.

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