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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.
Bulletin of the London Mathematical Society – Wiley
Published: Aug 1, 2018
Keywords: ; ;
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