Infinitesimal and square-zero extensions of simplicial algebras
Algebraic Geometry
2015-10-06 v2
Abstract
We introduce the notions of infinitesimal extension and square-zero extension in the context of simplicial commutatie algebras. We next investigate their mutual relationship and we show that the Postnikov tower of a simplicial commutative algebra is built out of square-zero extensions. We conclude the notes with two applications: we give connectivity estimates for the cotangent complex and we show how obstructions can be seen as deformations over simplicial rings.
Keywords
Cite
@article{arxiv.1310.3573,
title = {Infinitesimal and square-zero extensions of simplicial algebras},
author = {Mauro Porta and Gabriele Vezzosi},
journal= {arXiv preprint arXiv:1310.3573},
year = {2015}
}
Comments
Notes for students 32 pages