On jets, extensions and characteristic classes I

Details On jets, extensions and characteristic classes I On jets, extensions and characteristic classes I

2009-04-19

arxiv.org/abs/0904.2916v12

Mathematics

Algebraic Geometry

Section two of the paper has been revised and rewritten and is published in the preprint "On jets, extensions and characterist

Scientific paper

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.

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