Ulrich line bundles on Enriques surfaces with a polarization of degree four
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2017
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| _version_ | 1866929208867946496 |
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| author | Aprodu, Marian Kim, Yeongrak |
| author_facet | Aprodu, Marian Kim, Yeongrak |
| contents | In this paper, we prove the existence of an Enriques surface with a polarization of degree four with an Ulrich bundle of rank one. As a consequence, we prove that general polarized Enriques surfaces of degree four, with the same numerical polarization class, carry Ulrich line bundles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1701_05759 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Ulrich line bundles on Enriques surfaces with a polarization of degree four Aprodu, Marian Kim, Yeongrak Algebraic Geometry In this paper, we prove the existence of an Enriques surface with a polarization of degree four with an Ulrich bundle of rank one. As a consequence, we prove that general polarized Enriques surfaces of degree four, with the same numerical polarization class, carry Ulrich line bundles. |
| title | Ulrich line bundles on Enriques surfaces with a polarization of degree four |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/1701.05759 |