Rational curves and Seshadri constants on Enriques surfaces
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866929402337558528 |
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| author | Galati, Concettina Knutsen, Andreas Leopold |
| author_facet | Galati, Concettina Knutsen, Andreas Leopold |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_08191 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Rational curves and Seshadri constants on Enriques surfaces Galati, Concettina Knutsen, Andreas Leopold Algebraic Geometry 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. |
| title | Rational curves and Seshadri constants on Enriques surfaces |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2212.08191 |