A Git Interpretation of the Harder-narasimhan Filtration Tomás L. Gómez, Ignacio Sols and Alfonso Zamora
نویسنده
چکیده
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.
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