论文标题

在Enriques表面上的理性曲线和Seshadri常数

Rational curves and Seshadri constants on Enriques surfaces

论文作者

Galati, Concettina, Knutsen, Andreas Leopold

论文摘要

我们证明,非常通用的表面上的理性曲线始终为$ 2 $ - 可分布。结果,我们证明,在非常通用的份额上,任何大型和NEF线束的seshadri常数与Cossec引入的$ ϕ $ function的值一致。

We prove that classes of rational curves on very general Enriques surfaces are always $2$-divisible. As a consequence, we prove that the Seshadri constant of any big and nef line bundle on a very general Enriques surface coincides with the value of the $ϕ$-function introduced by Cossec.

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