Smoothing cones over K3 surfaces
Algebraic Geometry
2018-12-14 v3
Abstract
We prove that the affine cone over a general primitively polarised K3 surface of genus g is smoothable if and only if g\le 10 or g=12. We also give several examples of singularities with special behaviour, such as surfaces whose affine cone is smoothable even though the projective cone is not.
Cite
@article{arxiv.1601.02381,
title = {Smoothing cones over K3 surfaces},
author = {Stephen Coughlan and Taro Sano},
journal= {arXiv preprint arXiv:1601.02381},
year = {2018}
}