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arXiv · 2212.08191

Rational curves and Seshadri constants on Enriques surfaces

Concettina Galati·Andreas Leopold Knutsen
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Abstract

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 $\phi$-function introduced by Cossec.

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Concettina Galati, Andreas Leopold Knutsen. 2022-12-15. Rational curves and Seshadri constants on Enriques surfaces. https://doi.org/10.1090/proc/16766

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