Gómez, Tomás L.Sols Lucía, IgnacioAlfonso, Zamora2023-06-192023-06-192015-011139-113810.1007/s13163-014-0149-3https://hdl.handle.net/20.500.14352/33855An unstable torsion free sheaf on a smooth projective variety gives a GIT unstable point in certain Quot scheme. To a GIT unstable point, Kempf associates a "maximally destabilizing" 1-parameter subgroup, and this induces a filtration of the torsion free sheaf. We show that this filtration coincides with the Harder-Narasimhan filtration.engjournal articlehttp://link.springer.com/article/10.1007/s13163-014-0149-3http://arxiv.org/abs/1112.1886open access51Vector bundlesModuli spaceStabilityGeometric invariant theoryMatemáticas (Matemáticas)12 Matemáticas