Smoothing cones over K3 surfaces

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Stephen Coughlan
  • Taro Sano

Research Organisations

External Research Organisations

  • Kobe University
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Details

Translated title of the contributionSur la lissabilité des cônes sur les surfaces K3
Original languageEnglish
Article number26
JournalEpijournal de Geometrie Algebrique
Volume2
Publication statusPublished - 21 Dec 2018

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.

Cite this

Smoothing cones over K3 surfaces. / Coughlan, Stephen; Sano, Taro.
In: Epijournal de Geometrie Algebrique, Vol. 2, 26, 21.12.2018.

Research output: Contribution to journal › Article › Research › peer review

Coughlan S, Sano T. Smoothing cones over K3 surfaces. Epijournal de Geometrie Algebrique. 2018 Dec 21;2:26. doi: 10.48550/arXiv.1601.02381, 10.46298/epiga.2018.volume2.4055, 10.15488/4770
Coughlan, Stephen ; Sano, Taro. / Smoothing cones over K3 surfaces. In: Epijournal de Geometrie Algebrique. 2018 ; Vol. 2.
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