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Infinitesimal and square-zero extensions of simplicial algebras

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 Added by Mauro Porta
 Publication date 2013
  fields
and research's language is English




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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.

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