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Diptych varieties, I

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Brown, Gavin and Reid, Miles (2013) Diptych varieties, I. Proceedings of the London Mathematical Society, Volume 107 (Number 6). pp. 1353-1394. doi:10.1112/plms/pdt028 ISSN 0024-6115 .

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Official URL: http://dx.doi.org/10.1112/plms/pdt028

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Abstract

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.

Item Type: Journal Article
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Journal or Publication Title: Proceedings of the London Mathematical Society
Publisher: Cambridge University Press
ISSN: 0024-6115
Official Date: 2013
Dates:
DateEvent
2013Published
Volume: Volume 107
Number: Number 6
Page Range: pp. 1353-1394
DOI: 10.1112/plms/pdt028
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access

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