Locally complete intersection homomorphisms and a conjecture of Quillen on the vanishing of cotangent homology

@article{Avramov1999LocallyCI,
  title={Locally complete intersection homomorphisms and a conjecture of Quillen on the vanishing of cotangent homology},
  author={Luch{\'e}zar L. Avramov},
  journal={Annals of Mathematics},
  year={1999},
  volume={150},
  pages={455-487}
}
  • Luchézar L. Avramov
  • Published 1999
  • Mathematics
  • Annals of Mathematics
  • Classical deflnitions of locally complete intersection (l.c.i.) homomor- phisms of commutative rings are limited to maps that are essentially of flnite type, or ∞at. The concept introduced in this paper is meaningful for homo- morphisms ': Ri! S of commutative noetherian rings. It is deflned in terms of the structure of ' in a formal neighborhood of each point of SpecS .W e characterize the l.c.i. property by difierent conditions on the vanishing of the Andre-Quillen homology of the R-algebra S… CONTINUE READING

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