dc.contributor.author | Ciliberto, Ciro | |
dc.contributor.author | Flamini, Flaminio | |
dc.contributor.author | Knutsen, Andreas Leopold | |
dc.date.accessioned | 2024-02-02T12:34:08Z | |
dc.date.available | 2024-02-02T12:34:08Z | |
dc.date.created | 2023-03-31T12:10:21Z | |
dc.date.issued | 2023 | |
dc.identifier.issn | 0373-3114 | |
dc.identifier.uri | https://hdl.handle.net/11250/3115292 | |
dc.description.abstract | We prove that on X n , the plane blown-up at n very general points, there are Ulrich line bundles with respect to a line bundle corresponding to curves of degree m passing simply through the n blown-up points, with m ≤ 2√n and such that the line bundle in question is very ample on X n . We prove that the number of these Ulrich line bundles tends to infinity with n. We also prove the existence of slope-stable rank-r Ulrich vector bundles on X n , for n ≥ 2 and any r ≥ 1 and we compute the dimensions of their moduli spaces. These computations imply that X n is Ulrich wild. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Springer | en_US |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | Ulrich bundles on a general blow-up of the plane | en_US |
dc.type | Journal article | en_US |
dc.type | Peer reviewed | en_US |
dc.description.version | publishedVersion | en_US |
dc.rights.holder | Copyright 2023 The Author(s) | en_US |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 1 | |
dc.identifier.doi | 10.1007/s10231-023-01303-4 | |
dc.identifier.cristin | 2138824 | |
dc.source.journal | Annali di Matematica Pura ed Applicata | en_US |
dc.source.pagenumber | 1835–1854 | en_US |
dc.identifier.citation | Annali di Matematica Pura ed Applicata. 2023, 202, 1835–1854. | en_US |
dc.source.volume | 202 | en_US |