On the local negativity of surfaces with numerically trivial canonical class

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

Autoren

  • Roberto Laface
  • Piotr Pokora

Organisationseinheiten

Externe Organisationen

  • Johannes Gutenberg-Universität Mainz
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)237-253
Seitenumfang17
FachzeitschriftRendiconti lincei: Matematica e applicazioni
Jahrgang29
Ausgabenummer2
PublikationsstatusVeröffentlicht - 26 Apr. 2018

Abstract

In this note we study the local negativity for certain configurations of smooth rational curves in smooth surfaces with numerically trivial canonical class. We show that for such rational curves there is a bound for the so-called local Harbourne constants, which measure the local negativity phenomenon. Moreover, we provide explicit examples of interesting configurations of rational curves in some K3 and Enriques surfaces and compute their local Harbourne constants.

Zitieren

On the local negativity of surfaces with numerically trivial canonical class. / Laface, Roberto; Pokora, Piotr.
in: Rendiconti lincei: Matematica e applicazioni, Jahrgang 29, Nr. 2, 26.04.2018, S. 237-253.

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

Laface R, Pokora P. On the local negativity of surfaces with numerically trivial canonical class. Rendiconti lincei: Matematica e applicazioni. 2018 Apr 26;29(2):237-253. doi: 10.48550/arXiv.1512.06022, 10.4171/rlm/803
Laface, Roberto ; Pokora, Piotr. / On the local negativity of surfaces with numerically trivial canonical class. in: Rendiconti lincei: Matematica e applicazioni. 2018 ; Jahrgang 29, Nr. 2. S. 237-253.
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