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arXiv · 2005.12939

12 rational curves on Enriques surfaces

Sławomir Rams·Matthias Schütt
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Abstract

Given d in IN, we prove that any polarized Enriques surface (over any field of characteristic different from 2 or with a smooth K3 cover) of degree greater than 12d^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 contain exactly 12 rational degree d curves.

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Sławomir Rams, Matthias Schütt. 2020-05-26. 12 rational curves on Enriques surfaces. https://arxiv.org/abs/2005.12939

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