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Diptych varieties, I
journal contributionposted on 2014-09-17, 13:35 authored by Gavin Brown, Miles Reid
We present a new class of affine Gorenstein 6-folds obtained by smoothing the 1-dimensional singular locus of a reducible affine toric surface; their existence is established using explicit methods in toric geometry and serial use of Kustin–Miller Gorenstein unprojection. These varieties have applications as key varieties in constructing other varieties, including local models of Mori flips of Type A.
This work was partially funded by Korean Government WCU Grant R33-2008-000-10101-0.
- Mathematical Sciences
Published inPROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY
Pages1353 - 1394 (42)
CitationBROWN, G. and REID, M., 2013. Diptych varieties, I. Proceedings of the London Mathematical Society, 107 (6), pp. 1353 - 1394.
PublisherOxford University Press / © London Mathematical Society
- VoR (Version of Record)
Publisher statementThis work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/
NotesThis article is closed access.