Andre-Quillen homology of commutative algebras
Commutative Algebra
2007-05-23 v1 Algebraic Topology
Abstract
These notes are an introduction to basic properties of Andre-Quillen homology for commutative algebras. They are an expanded version of my lectures at the summer school: Interactions between homotopy theory and algebra, University of Chicago, 26th July - 6th August, 2004. The aim is to give fairly complete proofs of characterizations of smooth homomorphisms and of locally complete intersection homomorphisms in terms of vanishing of Andre-Quillen homology. The choice of the material, and the point of view, are guided by these goals.
Keywords
Cite
@article{arxiv.math/0609151,
title = {Andre-Quillen homology of commutative algebras},
author = {Srikanth Iyengar},
journal= {arXiv preprint arXiv:math/0609151},
year = {2007}
}
Comments
32 pages; to appear in: Interactions between homotopy theory and algebra (Chicago 2004), Contemp. Math