English

A note on the cotangent complex in derived algebraic geometry

Algebraic Geometry 2010-09-03 v3 Algebraic Topology

Abstract

This note is supposed to answer some questions on deformation theory in derived algebraic geometry. We show that derived algebraic geometry allows for a geometrical interpretation of the full cotangent complex and gives a natural setting for deformation and obstruction theories.

Keywords

Cite

@article{arxiv.1008.0601,
  title  = {A note on the cotangent complex in derived algebraic geometry},
  author = {Gabriele Vezzosi},
  journal= {arXiv preprint arXiv:1008.0601},
  year   = {2010}
}
R2 v1 2026-06-21T15:56:32.242Z