%0 Journal Article
%A Gómez, Tomás L.
%A Sols Lucía, Ignacio
%A Alfonso, Zamora
%T A GIT interpretration of the Harder-Narasimhan filtration
%D 2015
%@ 1139-1138
%U https://hdl.handle.net/20.500.14352/33855
%X An 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.
%~