RT Journal Article
T1 Links and analytic invariants of superisolated singularities
A1 Luengo Velasco, Ignacio
A1 Melle Hernández, Alejandro
A1 Némethi, A.
AB Using superisolated singularities we present examples and counterexamples to some of the most important conjectures regarding invariants of normal surface singularities. More precisely, we show that the ``Seiberg-Witten invariant conjecture''(of Nicolaescu and the third author), the ``Universal abelian cover conjecture'' (of Neumann and Wahl) and the ``Geometric genus conjecture'' fail (at least at that generality in which they were formulated). Moreover, we also show that for Gorenstein singularities (even with integral homology sphere links) besides the geometric genus, the embedded dimension and the multiplicity (in particular, the Hilbert-Samuel function) also fail to be topological; and in general, the Artin cycle does not coincide with the maximal (ideal) cycle.
PB American Mathematical Society
SN 1056-3911
YR 2005
FD 2005
LK https://hdl.handle.net/20.500.14352/50196
UL https://hdl.handle.net/20.500.14352/50196
LA eng
NO Received March 29, 2004 and, in revised form, June 19, 2004. The first two authors are partially supported by BFM2001-1488-C02-01. The third author is partially supported by NSF grant DMS-0304759.
NO NSF
DS Docta Complutense
RD 9 abr 2025