Diptych varieties. I
Algebraic Geometry
2014-02-26 v1
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.
Keywords
Cite
@article{arxiv.1208.2446,
title = {Diptych varieties. I},
author = {Gavin Brown and Miles Reid},
journal= {arXiv preprint arXiv:1208.2446},
year = {2014}
}
Comments
50 pages. The webpage at www-staff.lboro.ac.uk/~magdb/aflip.html contains links to auxiliary material