Skip to main content
Log in

Abstract

In this article we prove that an isolated complete intersection singularity (V,0) is characterized by a module of finite lengthA(V) (cf. §1 for definition) associated to it. The proof uses the theory of finitely determined map germs and generalises the corresponding result by Yau and Mather [4], for hypersurfaces.

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. Le D T and Ramanujam C P, The invariance of Milnor’s number implies the invariance of the topological type,Am. J. Math. 98 (1976) 67–78

    Article  MATH  Google Scholar 

  2. Mather J N, Stability ofC mappings III,Publ. Math. IHES 35 (1968) 127–156

    MATH  Google Scholar 

  3. Mather J N Stability ofC mappings IV,Publ. Math. IHES 37 (1970) 223–248

    Google Scholar 

  4. Mather J N and Yau S S T, Classification of hyper surface singularities by their moduli algebras,Invent. Math. 69 (1982) 243–251

    Article  MATH  MathSciNet  Google Scholar 

  5. Gaffney T and Hauser H, Characterizing singularities of varieties and of mappings.Invent. Math. 81 (1985) 427–447

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Parameswaran, A.J. Classification of isolated complete intersection singularities. Proc. Indian Acad. Sci. (Math. Sci.) 99, 17–25 (1989). https://doi.org/10.1007/BF02874645

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02874645

Keywords

Navigation