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A Construction of Q-Gorenstein Smoothings of Index two

  • The notion of Q-Gorenstein smoothings has been introduced by Kollar. ([KoJ], 6.2.3). This notion is essential for formulating Kollar's conjectures on smoothing components for rational surface singularities. He conjectures, loosely speaking, that every smoothing of a rational surface singularity can be obtained by blowing down a deformation of a partial resolution, this partial resolution having the property (among others) that the singularities occuring on it all have qG-smoothings. (For more details and precise statements see [Ko], ch. 6.). It is therefore of interest to construct singularities having qG-smoothings.

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Author:Theo de Jong, Duco van Straten
URN (permanent link):urn:nbn:de:hbz:386-kluedo-48655
Serie (Series number):Preprints (rote Reihe) des Fachbereich Mathematik (203)
Document Type:Report
Language of publication:English
Publication Date:2017/10/17
Year of Publication:1991
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2017/10/17
Number of page:8
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
Licence (German):Creative Commons 4.0 - Namensnennung, nicht kommerziell, keine Bearbeitung (CC BY-NC-ND 4.0)