Título:
|
A GIT interpretration of the Harder-Narasimhan filtration
|
Autores:
|
Gómez, Tomás L. ;
Sols, Ignacio ;
Alfonso, Zamora
|
Tipo de documento:
|
texto impreso
|
Editorial:
|
Springer, 2015-01
|
Dimensiones:
|
application/pdf
|
Nota general:
|
info:eu-repo/semantics/openAccess
|
Idiomas:
|
|
Palabras clave:
|
Estado = Publicado
,
Materia = Ciencias: Matemáticas
,
Tipo = Artículo
|
Resumen:
|
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.
|
En línea:
|
https://eprints.ucm.es/id/eprint/29073/1/1112.1886v4.pdf
|