Twelve Rational curves on Enriques surfaces

Given d ∈ N , we prove that any polarized Enriques surface (over any field k of characteristic p ≠ 2 or with a smooth K3 cover) of degree greater than 12 d 2 contains at most 12 rational curves of degree at most d . For d > 2 , we construct examples of Enriques surfaces of high degree that contai...

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Veröffentlicht in:	Research in the mathematical sciences 2021-06, Vol.8 (2), Article 22
Hauptverfasser:	Rams, Sławomir, Schütt, Matthias
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Computational Mathematics and Numerical Analysis Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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