Diptych varieties, I
journal contribution
posted on 2014-09-17, 13:35 authored by Gavin Brown, Miles ReidWe 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.
Funding
This work was partially funded by Korean Government WCU Grant R33-2008-000-10101-0.
History
School
- Science
Department
- Mathematical Sciences
Published in
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETYVolume
107Pages
1353 - 1394 (42)Citation
BROWN, G. and REID, M., 2013. Diptych varieties, I. Proceedings of the London Mathematical Society, 107 (6), pp. 1353 - 1394.Publisher
Oxford University Press / © London Mathematical SocietyVersion
- VoR (Version of Record)
Publisher statement
This 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/Publication date
2013Notes
This article is closed access.ISSN
0024-6115Publisher version
Language
- en
