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http://hdl.handle.net/2445/120550| Title: | Ulrich bundles on ruled surfaces |
| Author: | Aprodu, Marian Costa Farràs, Laura Miró-Roig, Rosa M. (Rosa Maria) |
| Keywords: | Superfícies algebraiques Geometria algebraica Algebraic surfaces Algebraic geometry |
| Issue Date: | Jan-2018 |
| Publisher: | Elsevier B.V. |
| Abstract: | In this short note, we study the existence problem for Ulrich bundles on polarized ruled surfaces, focusing our attention on the smallest possible rank. We show that existence of Ulrich line bundles occurs if and only if the coefficient αof the minimal section in the numerical class of the polarization equals one. For other polarizations, we prove the existence of rank two Ulrich bundles. |
| Note: | Versió postprint del document publicat a: https://doi.org/10.1016/j.jpaa.2017.03.007 |
| It is part of: | Journal of Pure and Applied Algebra, 2018, vol. 222, num. 1, p. 131-138 |
| URI: | http://hdl.handle.net/2445/120550 |
| Related resource: | https://doi.org/10.1016/j.jpaa.2017.03.007 |
| ISSN: | 0022-4049 |
| Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| 668046.pdf | 137.23 kB | Adobe PDF | View/Open |
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