RT Book, Section
T1 Superisolated Surface Singularities
A1 Artal Bartolo, Enrique
A1 Luengo Velasco, Ignacio
A1 Melle Hernández, Alejandro
A2 Lossen, Christoph
A2 Pfiste, Gerhard
AB 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
PB Cambridge University Press
SN 9780521683098
YR 2006
FD 2006
LK https://hdl.handle.net/20.500.14352/53231
UL https://hdl.handle.net/20.500.14352/53231
LA eng
NO Papers from the conference held at the University of Kaiserslautern, Kaiserslautern, October 18–20, 2004
DS Docta Complutense
RD 8 abr 2025