On jets, extensions and characteristic classes I
Algebraic Geometry
2020-11-13 v9 Commutative Algebra
Abstract
In this paper we give general definitions of non-commutative jets in the local and global situation using square zero extensions and derivations. We study the functors Exank(A, I) where A is any k-algebra and I is any left and right A-module and use this to relate affine non-commutative jets to liftings of modules. We also study the Kodaira-Spencer class KS(L) and relate it to the Atiyah class.
Cite
@article{arxiv.0904.2916,
title = {On jets, extensions and characteristic classes I},
author = {Helge Øystein Maakestad},
journal= {arXiv preprint arXiv:0904.2916},
year = {2020}
}
Comments
Section two of the paper has been revised and rewritten and is published in the preprint "On jets, extensions and characteristic classes II"