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Deforming Nonnormal Isolated Surface Singularities and Constructing Threefolds with P^1 as Exceptional Set.

Chapter in book
Authors Jan Stevens
Published in Decker W., Pfister G., Schulze M. (eds). Singularities and Computer Algebra. Festschrift for Gert-Martin Greuel on the Occasion of his 70th Birthday
Pages 329-351
ISBN 978-3-319-28828-4
Publisher Springer
Place of publication Cham
Publication year 2017
Published at Department of Mathematical Sciences, Algebra and Geometry
Pages 329-351
Language en
Keywords Nonnormal singularities Simultaneous normalisation Small modifications
Subject categories Algebra and geometry


Normally one assumes isolated surface singularities to be normal. The purpose of this paper is to show that it can be useful to look at nonnormal singularities. By deforming them interesting normal singularities can be constructed, such as isolated, non Cohen-Macaulay threefold singularities. They arise by a small contraction of a smooth rational curve, whose normal bundle has a sufficiently positive subbundle. We study such singularities from their nonnormal general hyperplane section.

Page Manager: Webmaster|Last update: 9/11/2012

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