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http://hdl.handle.net/2445/195360
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DC Field | Value | Language |
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dc.contributor.author | Marchesi, Simone | - |
dc.contributor.author | Vallès, Jean | - |
dc.date.accessioned | 2023-03-16T07:47:24Z | - |
dc.date.available | 2023-03-16T07:47:24Z | - |
dc.date.issued | 2023 | - |
dc.identifier.issn | 0214-1493 | - |
dc.identifier.uri | http://hdl.handle.net/2445/195360 | - |
dc.description.abstract | In this paper we characterize the rank two vector bundles on $\mathbb{P}^2$ which are invariant under the actions of the parabolic subgroups $G_p:=\operatorname{Stab}_p(\mathrm{PGL}(3))$ fixing a point in the projective plane, $G_L:=\operatorname{Stab}_L(\mathrm{PGL}(3))$ fixing a line, and when $p \in L$, the Borel subgroup $\mathbf{B}=G_p \cap G_L$ of PGL(3). Moreover, we prove that the geometrical configuration of the jumping locus induced by the invariance does not, on the other hand, characterize the invariance itself. Indeed, we find infinite families that are almost uniform but not almost homogeneous. | - |
dc.format.extent | 17 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Universitat Autònoma de Barcelona | - |
dc.relation.isformatof | Reproducció del document publicat a: https://doi.org/10.5565/PUBLMAT6712306 | - |
dc.relation.ispartof | Publicacions Matemàtiques, 2023, vol. 67, p. 259-275 | - |
dc.relation.uri | https://doi.org/10.5565/PUBLMAT6712306 | - |
dc.rights | (c) Universitat Autònoma de Barcelona, 2023 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Geometria algebraica | - |
dc.subject.classification | Homologia | - |
dc.subject.classification | Grups algebraics lineals | - |
dc.subject.other | Algebraic geometry | - |
dc.subject.other | Homology | - |
dc.subject.other | Linear algebraic groups | - |
dc.title | On invariant rank two vector bundles on $\mathbb{P}^2$ | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/publishedVersion | - |
dc.identifier.idgrec | 732370 | - |
dc.date.updated | 2023-03-16T07:47:25Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
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732370.pdf | 382.12 kB | Adobe PDF | View/Open |
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