On invariant rank two vector bundles on P2
In this paper we characterize the rank two vector bundles on P 2 which are invariant under the actions of the parabolic subgroups Gp := Stabp(PGL(3)) fixing a point in the projective plane, GL := StabL(PGL(3)) fixing a line, and when p ∈ L, the Borel subgroup B = Gp∩GL of PGL(3). Moreover, we prove...
| Autores: | , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2023 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositório: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglês |
| OAI Identifier: | oai:ddd.uab.cat:271767 |
| Acesso em linha: | https://ddd.uab.cat/record/271767 https://dx.doi.org/urn:doi:10.5565/PUBLMAT6712306 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Invariant bundles Logarithmic sheaves |
| Resumo: | In this paper we characterize the rank two vector bundles on P 2 which are invariant under the actions of the parabolic subgroups Gp := Stabp(PGL(3)) fixing a point in the projective plane, GL := StabL(PGL(3)) fixing a line, and when p ∈ L, the Borel subgroup B = Gp∩GL 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. |
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