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Smoothing cones over K3 surfaces

Published 11 Jan 2016 in math.AG | (1601.02381v3)

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.

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Authors (2)

  1. Stephen Coughlan 
  2. Taro Sano 

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