Abstract
In this paper we characterize the rank two vector bundles on which are invariant under the actions of the parabolic subgroups fixing a point in the projective plane, fixing a line, and when , the Borel subgroup of . 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.
Funding Statement
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).
Citation
Simone Marchesi. Jean Vallès. "ON INVARIANT RANK TWO VECTOR BUNDLES ON ." Publ. Mat. 67 (1) 259 - 275, 2023. https://doi.org/10.5565/PUBLMAT6712306
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