Ulrich line bundles on double planes
| Autor: | Parameswaran, A. J., Narayanan, Poornapushkala |
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| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | J. Algebra 583 (2021), 187-208 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.jalgebra.2021.05.005 |
| Popis: | Consider a smooth complex surface $X$ which is a double cover of the projective plane $\mathbb{P}^2$ branched along a smooth curve of degree $2s$. In this article, we study the geometric conditions which are equivalent to the existence of Ulrich line bundles on $X$ with respect to this double covering. Also, for every $s\geq 1$, we describe the classes of such surfaces which admit Ulrich line bundles and give examples. Comment: 18 pages, journal version, the statement of Theorem 1.1 has been changed |
| Databáze: | arXiv |
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