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Superisolated Surface Singularities

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Artal Bartolo, Enrique y Luengo Velasco, Ignacio y 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

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



Resumen

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


Tipo de documento:Sección de libro
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Papers from the conference held at the University of Kaiserslautern, Kaiserslautern, October 18–20, 2004

Palabras clave:normal surface singularities, plane curves, monodromy, deformations
Materias:Ciencias > Matemáticas > Geometria algebraica
Código ID:20961
Depositado:19 Abr 2013 16:44
Última Modificación:02 Aug 2018 11:48

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