Skip to main content
Log in

Smoothable varieties with torsion free canonical sheaf

  • Published:
manuscripta mathematica Aims and scope Submit manuscript

Abstract

It will be shown that a smoothable Cohen-Macaulay variety over a field of characteristic zero is smooth if and only if its canonical sheaf is torsion free.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. R. Bassein, On smoothable curve singularities: local methods, Math. Ann. 230 (1977)

  2. R. Berger, Differentialmodulin eindimensionaler localer Ringe, Math. Zeit. 81 (1963)

  3. R. Buchweitz, G. Greuel, The Milnor number and deformations of complex curve singularities, Invent. Math. 58 (1980)

  4. R. Hartshorne, Algebraic geometry, Springer-Verlag (1977)

  5. R. Hübl, A note the torsion of differential forms, preprint

  6. E. Kunz, R. Waldi, Regular differential forms, preprint

  7. J. Lipman, Dualizing sheaves, differentials and residues on algebraic varieties, Astérisque 117 (1984)

  8. D. Mumford, Abelian varieties, Tata Institute (1970)

Download references

Author information

Authors and Affiliations

Authors

Additional information

partially supported by NSF

Rights and permissions

Reprints and permissions

About this article

Cite this article

Arapura, D. Smoothable varieties with torsion free canonical sheaf. Manuscripta Math 63, 17–20 (1989). https://doi.org/10.1007/BF01173698

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01173698

Keywords

Navigation