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K3 transitions and canonical 3‐folds

K3 transitions and canonical 3‐folds We introduce K3 transitions as a geometric approach to studying canonical 3‐folds. These transitions link different deformation classes of canonical 3‐folds via a combination of birational contractions and smoothings. As applications, we investigate some basic properties of the web of canonical 3‐folds in small codimension and give an interesting example of a singularity in codimension 4 with obstructed smoothings, similar to the famous example of the affine cone over a degree 6 del Pezzo surface. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Wiley

K3 transitions and canonical 3‐folds

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References (31)

Publisher
Wiley
Copyright
© 2018 London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/blms.12157
Publisher site
See Article on Publisher Site

Abstract

We introduce K3 transitions as a geometric approach to studying canonical 3‐folds. These transitions link different deformation classes of canonical 3‐folds via a combination of birational contractions and smoothings. As applications, we investigate some basic properties of the web of canonical 3‐folds in small codimension and give an interesting example of a singularity in codimension 4 with obstructed smoothings, similar to the famous example of the affine cone over a degree 6 del Pezzo surface.

Journal

Bulletin of the London Mathematical SocietyWiley

Published: Aug 1, 2018

Keywords: ; ;

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