Rational curves and Seshadri constants on Enriques surfaces

Concettina Galati; Andreas Leopold Knutsen

doi:10.1090/proc/16766

Rational curves and Seshadri constants on Enriques surfaces

Algebraic Geometry 2024-07-01 v2

Authors: 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.

Keywords

rational curves enriques surfaces seshadri constants line bundles phi-function

Cite

@article{arxiv.2212.08191,
  title  = {Rational curves and Seshadri constants on Enriques surfaces},
  author = {Concettina Galati and Andreas Leopold Knutsen},
  journal= {arXiv preprint arXiv:2212.08191},
  year   = {2024}
}

Comments

11 pages. Minor changes. Final version, encorporating referee's corrections

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