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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Acknowledgements
We are indebted to the anonymous referee for their useful suggestions to improve the presentation. The second author thanks Yongnam Lee and Alessandra Sarti for helpful discussions. The authors thank the Max Planck Institut für Mathematik in Bonn for hospitality during the preparation of this work. Marian Aprodu was partly funded by an UEFISCDI Grant. Yeongrak Kim was supported by Basic Science Research Program through the National Research Foundation of Korea funded by the Ministry of Education (NRF-2016R1A6A3A03008745).
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To the memory of Professor Alexandru Lascu.
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Aprodu, M., Kim, Y. Ulrich line bundles on Enriques surfaces with a polarization of degree four. Ann Univ Ferrara 63, 9–23 (2017). https://doi.org/10.1007/s11565-017-0269-z
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DOI: https://doi.org/10.1007/s11565-017-0269-z