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.
Author: | Theo de Jong, Duco van Straten |
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URN: | urn:nbn:de:hbz:386-kluedo-48655 |
Series (Serial Number): | Preprints (rote Reihe) des Fachbereich Mathematik (203) |
Document Type: | Report |
Language of publication: | English |
Date of Publication (online): | 2017/10/17 |
Year of first Publication: | 1991 |
Publishing Institution: | Technische Universität Kaiserslautern |
Date of the Publication (Server): | 2017/10/17 |
Page Number: | 8 |
Faculties / Organisational entities: | Kaiserslautern - 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) |