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Artal Bartolo, Enrique and Luengo Velasco, Ignacio and Melle Hernández, Alejandro
(2006)
*Superisolated Surface Singularities.*
In
Singularities and computer algebra.
London Mathematical Society Lecture Note Series
(324).
Cambridge University Press, Cambridge, pp. 13-39.
ISBN 9780521683098

PDF
Restringido a Repository staff only 343kB |

Official URL: http://ebooks.cambridge.org/chapter.jsf?bid=CBO9780511526374&cid=CBO9780511526374A015

## Abstract

In this survey, we review part of the theory of superisolated surface singularities (SIS) and its applications including some new and recent developments. The class of SIS singularities is, in some sense, the simplest class of germs of normal surface singularities. Namely, their tangent cones are reduced curves and the geometry and topology of the SIS singularities can be deduced from them. Thus this class contains, in a canonical way, all the complex projective plane curve theory, which gives a series of nice examples and counterexamples. They were introduced by I. Luengo to show the non-smoothness of the μ-constant stratum and have been used to answer negatively some other interesting open questions. We review them and the new results on normal surface singularities whose link are rational homology spheres. We also discuss some positive results which have been proved for SIS singularities

Item Type: | Book Section |
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Additional Information: | Papers from the conference held at the University of Kaiserslautern, Kaiserslautern, October 18–20, 2004 |

Uncontrolled Keywords: | normal surface singularities, plane curves, monodromy, deformations |

Subjects: | Sciences > Mathematics > Algebraic geometry |

ID Code: | 20961 |

Deposited On: | 19 Apr 2013 16:44 |

Last Modified: | 02 Aug 2018 11:48 |

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