# DURFEE’S CONJECTURE ON THE SIGNATURE OF SMOOTHINGS OF SURFACE SINGULARITIES

## Author(s): Kollar, Janos; Nemethi, Andras; de Fernex, Tommaso

To refer to this page use: http://arks.princeton.edu/ark:/88435/pr1zp9p
DC FieldValueLanguage
dc.contributor.authorKollar, Janos-
dc.contributor.authorNemethi, Andras-
dc.contributor.authorde Fernex, Tommaso-
dc.date.accessioned2017-11-21T19:48:24Z-
dc.date.available2017-11-21T19:48:24Z-
dc.date.issued2017-05en_US
dc.identifier.citationKollar, Janos, Nemethi, Andras, de Fernex, Tommaso. (DURFEE’S CONJECTURE ON THE SIGNATURE OF SMOOTHINGS OF SURFACE SINGULARITIES. ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 50 (787 - 798. doi:10.24033/asens.2332en_US
dc.identifier.issn0012-9593-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr1zp9p-
dc.description.abstractIn 1978 Durfee conjectured various inequalities between the signature sigma and the geometric genus p(g) of a normal surface singularity. Since then a few counter examples have been found and positive results established in some special cases. We prove a ‘strong’ Durfee-type inequality for any smoothing of a Gorenstein singularity, provided that the intersection form of the resolution is unimodular. We also prove the conjectured ‘weak’ inequality for all hypersurface singularities and for sufficiently large multiplicity strict complete intersections. The proofs establish general inequalities valid for any numerically Gorenstein normal surface singularity.en_US
dc.format.extent787 - 798en_US
dc.language.isoenen_US
dc.relation.ispartofANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEUREen_US
dc.rightsAuthor's manuscripten_US
dc.titleDURFEE’S CONJECTURE ON THE SIGNATURE OF SMOOTHINGS OF SURFACE SINGULARITIESen_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.24033/asens.2332-
dc.date.eissued2017-05en_US
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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