On invariant rank two vector bundles on P2
Marchesi, Simone (Universitat de Barcelona)
Vallès, Jean (Université de Pau et des Pays de l'Adour)

Fecha:	2023
Resumen:	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.
Ayudas:	Ministerio de Ciencia e Innovación PID2020-113674GB-I00
Nota:	Both authors were partially supported by CAPES-COFECUB project 926/19. S. Marchesi was partially supported by PID2020-113674GB-I00 (Ministerio de Ciencia e Innovación - Spain) and by the Spanish State Research Agency, through the Severo Ochoa and María de Maeztu Program for Centers and Units of Excellence in R&D (CEX2020-001084-M).
Derechos:	Tots els drets reservats.
Lengua:	Anglès
Documento:	Article ; Versió publicada
Materia:	Invariant bundles ; Logarithmic sheaves
Publicado en:	Publicacions matemàtiques, Vol. 67 Núm. 1 (2023) , p. 259-275 (Articles) , ISSN 2014-4350

Adreça original: https://raco.cat/index.php/PublicacionsMatematiques/article/view/412635
DOI: 10.5565/PUBLMAT6712306

17 p, 382.1 KB

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