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New Developments in Singularity Theory pp 379–404Cite as

The theory of integral closure of ideals and modules: Applications and new developments

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Part of the book series: NATO Science Series ((NAII,volume 21))

Abstract

Many equisingularity conditions such as the Whitney conditions, and their relative versions A f and W f , depend on controlling limiting linear structures. The theory of the integral closure of ideals and modules provides a very useful tool for studying these limiting structures. In this paper we illustrate how these tools are used in three case studies, and describe some of the advances in the theory since the survey article of [12], which was written in 1996.

Supported in part by NSF grant 9403708-DMS.

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Author information

Authors and Affiliations

  1. Northeastern University, USA

    Terence Gaffney

Authors
  1. Terence Gaffney
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University Utrecht, Utrecht, The Netherlands

    D. Siersma

  2. Mathematical Sciences, Liverpool, UK

    C. T. C. Wall

  3. Moscow Aviation Institute, Moscow, Russian Republic

    V. Zakalyukin

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Gaffney, T. (2001). The theory of integral closure of ideals and modules: Applications and new developments. In: Siersma, D., Wall, C.T.C., Zakalyukin, V. (eds) New Developments in Singularity Theory. NATO Science Series, vol 21. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0834-1_16

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  • DOI: https://doi.org/10.1007/978-94-010-0834-1_16

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-6997-4

  • Online ISBN: 978-94-010-0834-1

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