Ulrich line bundles on Enriques surfaces with a polarization of degree four |
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Authors: | Marian Aprodu Yeongrak Kim |
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Institution: | 1.Faculty of Mathematics and Computer Science,University of Bucharest,Bucharest,Romania;2.Simion Stoilow Institute of Mathematics of the Romanian Academy,Bucharest,Romania;3.Max Planck Institut für Mathematik,Bonn,Germany |
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Abstract: | 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. |
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