Skip to main content
SpringerLink
Log in

Generalized Koszul complexes and Hochschild (co-)homology of complete intersections

  • Published:
Inventiones mathematicae Aims and scope

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. Bourbaki, N.: Algèbre, Chap. 10, Paris: Masson 1980

    Google Scholar 

  2. Cartan, H., Eilenberg, S.: Homological Algebra, Princeton: Princeton University Press 1956

    Google Scholar 

  3. Gerstenhaber, M., Schack, S.D.: A Hodge type decomposition for commutative algebra cohomology. J. Pure Appl. Algebra48, 229–247 (1987)

    Google Scholar 

  4. Hartshorne, R.: Algebraic Geometry. Berlin Heidelberg New York: Springer 1977

    Google Scholar 

  5. Hochschild, G., Kostant, B., Rosenberg, A.: Differential forms on regular affine algebras. Trans. Am. Math. Soc.102, 383–408 (1962)

    Google Scholar 

  6. Illusie, L.: Complexe Cotangent et Déformations, vol. I, II (Lect. Notes Math., vols. 239, 283) Berlin Heidelberg New York: Springer 1971, 1972

    Google Scholar 

  7. Kirby, D.: A sequence of complexes associated with a matrix. J. Lond. Math. Soc.7, 523–530 (1973)

    Google Scholar 

  8. Loday, J.L.: Operations sur l'homologie cyclique des algèbres commutatives. Invent. Math.96, 205–230 (1989)

    Google Scholar 

  9. Majadas, J., Rodicio, A.G.: On the vanishing of Hochschild homology of locally complete intersections. Math. Ann.289, 85–87 (1991)

    Google Scholar 

  10. Matsumura, H.: Commutative Algebra, Reading: Benjamin/Cummings 1980

    Google Scholar 

  11. Northcott, D.G.: Ideal Theory. (Camb. Tracts Math. no 42) Cambridge: Cambridge University Press 1953

    Google Scholar 

  12. Northcott, D.G.: Finite Free Resolutions (Camb. Tracts Math., no 71) Cambridge: Cambridge University Press 1976

    Google Scholar 

  13. Quillen, D.: On the (co-)homology of commutative rings. (Proc. Symp. Pure Math., vol. 17, pp. 65–87) Providence, RI: Am. Math. Soc. 1970

    Google Scholar 

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

    Google Scholar 

  15. Rodicio, A.G.: Free duals and regular sequences. Mich. Math J.37, 249–257 (1990)

    Google Scholar 

  16. Wolffhardt, K.: The Hochschild homology of complete intersections. Trans. Am. Math. Soc.171, 51–66 (1972)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Escuela Universitaria de Estudios Empresariales, Carretera de la Lonia s/n, 32004, Orense, Spain

    Ana Lago

  2. Departamento de Álgebra, Facultad de Matematicas, E-15771, Santiago de Compostela, Spain

    Antonio G. Rodicio

Authors
  1. Ana Lago
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Antonio G. Rodicio
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Oblatum II-1991 & 26-VI-1991

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lago, A., Rodicio, A.G. Generalized Koszul complexes and Hochschild (co-)homology of complete intersections. Invent Math 107, 433–446 (1992). https://doi.org/10.1007/BF01231897

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01231897

Keywords

Search

Navigation