Skip to Main content Skip to Navigation
Journal articles

Smoothing cones over K3 surfaces

Abstract : We prove that the affine cone over a general primitively polarised K3 surface of genus g is smoothable if and only if g ≤ 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.
Complete list of metadatas

Cited literature [27 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01627067
Contributor : Benoît Claudon <>
Submitted on : Monday, December 17, 2018 - 2:53:33 PM
Last modification on : Thursday, February 28, 2019 - 6:26:02 PM
Document(s) archivé(s) le : Monday, March 18, 2019 - 4:11:15 PM

File

epiga_vol2_coughlan_al.pdf
Files produced by the author(s)

Licence


Distributed under a Creative Commons Attribution - ShareAlike 4.0 International License

Identifiers

  • HAL Id : hal-01627067, version 2
  • ARXIV : 1601.02381

Collections

Citation

Stephen Coughlan, Taro Sano. Smoothing cones over K3 surfaces. Épijournal de Géométrie Algébrique, EPIGA, 2018, Volume 2 (2018). ⟨hal-01627067v2⟩

Share

Metrics

Record views

109

Files downloads

570