Diptych varieties, I

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 applic...

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Bibliographic Details
Published in:Proceedings of the London Mathematical Society 2013-12, Vol.107 (6), p.1353-1394
Main Authors: Brown, Gavin, Reid, Miles
Format: Article
Language:English
Subjects:
Construction
Mathematical models
Serials
Smoothing
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Summary: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.
ISSN:0024-6115
1460-244X
DOI:10.1112/plms/pdt028