The theory of integral closure of ideals and modules: Applications and new developments. With an appendix by Steven Kleiman and Anders Thorup (Q2754599)
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scientific article; zbMATH DE number 1671306
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The theory of integral closure of ideals and modules: Applications and new developments. With an appendix by Steven Kleiman and Anders Thorup |
scientific article; zbMATH DE number 1671306 |
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4 July 2002
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integral closure of ideals
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equisingularity
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The theory of integral closure of ideals and modules: Applications and new developments. With an appendix by Steven Kleiman and Anders Thorup (English)
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The paper deals with the theory of integral closure of ideals and modules. The authors describe the recent developments and show how to apply them to the wide spectrum of problems connected with equisingularity of analytic functions and of analytic sets. Their approach is based on the fact that many equisingularity conditions such as Whitney's, depend on controlling limiting linear structures and the title-theory provides tools for studying them.NEWLINENEWLINENEWLINEThe appendix deals with the new (geometric) proofs of two theorems determining the dimension of the ``exceptional'' fiber of the generalized conormal bundle.NEWLINENEWLINEFor the entire collection see [Zbl 0968.00034].
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