Skip to main content
SpringerLink
Log in

On the vanishing of the homology of the exterior powers of the cotangent complex

  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. M.André, Homologie des Algàbres Commutatives. Berlin-Heidelberg-New York 1974.

  2. Buenos Aires Cyclic Homology Group, A Hochschild homology critérium for smoothness. Comment. Math. Helv.69, 163–168 (1994).

    Google Scholar 

  3. D. Burghelea andM. Vigué-Poirrier, Cyclic homology of commutative algebras I. LNM1318, 51–72, Berlin-Heidelberg-New York 1988.

    Google Scholar 

  4. G. Cortiñas, J. A. Guccione andJ. J. Guccione, Decomposition of the Hochschild and cyclic homology of chain differential graded algebras. J. Pure Appl. Algebra83, 219–235 (1992).

    Google Scholar 

  5. A. Dold undD. Puppe, Homologie nicht-additiver Funktoren. Ann. Inst. Fourier (Grenoble)11, 201–312 (1961).

    Google Scholar 

  6. L. Franco andA. G. Rodicio, On the vanishing of the second André-Quillen homology of a local homomorphism. J. Algebra155, 137–141 (1993).

    Google Scholar 

  7. R. Hübl, A note on the Hochschild homology and cyclic homology of a topological algebra. Manuscripta Math.77, 63–70 (1992).

    Google Scholar 

  8. L.Illusiė, Complexe Cotangent et Déformations I. LNM239, Berlin-Heidelberg-New York 1971.

  9. C. Ionescu, Hochschild homology of a topological algebra and formal smoothness. Comm. Algebra22, 4801–4805 (1994).

    Google Scholar 

  10. D. Quillen, On the (co-)homology of commutative rings. Proc. Sympos. Pure Math.17, 65–87 (1970).

    Google Scholar 

  11. A. G. Rodicio, Smooth algebras and vanishing of Hochschild homology. Comment. Math. Helv.65, 474–477 (1990).

    Google Scholar 

  12. A. G.Rodicio, Commutative augmented algebras with two vanishing homology modules. To appear in Adv. in Math.

Download references

Author information

Author notes

  1. Javier Majadas

    Present address: Departamento de Matemàticas Facultad de Ciencias Económicas, Universidad de Vigo, E-36271, Vigo, Spain

Authors and Affiliations

    Authors
    1. Javier Majadas
      View author publications

      You can also search for this author in PubMed Google Scholar

    Additional information

    Partially supported by Xunta de Galicia, XUGA 20701 A 92.

    Rights and permissions

    Reprints and permissions

    About this article

    Cite this article

    Majadas, J. On the vanishing of the homology of the exterior powers of the cotangent complex. Arch. Math 64, 484–489 (1995). https://doi.org/10.1007/BF01195130

    Download citation

    • Received:

    • Issue Date:

    • DOI: https://doi.org/10.1007/BF01195130

    Keywords

    Search

    Navigation