Title:
A general notion of coherent systems
Author(s):
Schmitt, Alexander H. W.
Year of publication:
2022
Available Date:
2023-03-03T13:52:04Z
Abstract:
We look at coherent systems for decorated vector bundles and propose a notion of semistability. In the special case of tensor powers, we will examine this notion more closely. In particular, we will construct moduli spaces with the help of geometric invariant theory. It is an interesting aspect that ampleness of the linearization in the geometric invariant theory construction yields a bound on the stability parameter for coherent systems.
Part of Identifier:
e-ISSN (online): 2235-0616
Keywords:
Coherent system
moduli space
geometric invariant theory
semistability
linearization
ampleness
DDC-Classification:
510 Mathematik
Publication Type:
Wissenschaftlicher Artikel
URL of the Original Publication:
DOI of the Original Publication:
Journaltitle:
Revista Matemática Iberoamericana
Department/institution:
Mathematik und Informatik
Institut für Mathematik