Smoothing cones over K3 surfaces

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Stephen Coughlan
  • Taro Sano

Organisationseinheiten

Externe Organisationen

  • Kobe University
Forschungs-netzwerk anzeigen

Details

Titel in ÜbersetzungSur la lissabilité des cônes sur les surfaces K3
OriginalspracheEnglisch
Aufsatznummer26
FachzeitschriftEpijournal de Geometrie Algebrique
Jahrgang2
PublikationsstatusVeröffentlicht - 21 Dez. 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.

Zitieren

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

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Coughlan S, Sano T. Smoothing cones over K3 surfaces. Epijournal de Geometrie Algebrique. 2018 Dez 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 ; Jahrgang 2.
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