%0 Journal Article
%T Infinitesimal and square-zero extensions of simplicial algebras
%A Mauro Porta
%A Gabriele Vezzosi
%J Mathematics
%D 2013
%I arXiv
%X 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.
%U http://arxiv.org/abs/1310.3573v2