RT Journal Article
T1 A GIT interpretration of the Harder-Narasimhan filtration
A1 Gómez, Tomás L.
A1 Sols Lucía, Ignacio
A1 Alfonso, Zamora
AB 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.
PB Springer
SN 1139-1138
YR 2015
FD 2015-01
LK https://hdl.handle.net/20.500.14352/33855
UL https://hdl.handle.net/20.500.14352/33855
LA eng
NO Spanish Ministerio de Economia y Competitividad
NO FPU Grant from the Spanish Ministerio de Educacion
DS Docta Complutense
RD 10 abr 2025