dc.contributor.author
Schmitt, Alexander H. W.
dc.date.accessioned
2023-03-03T13:52:04Z
dc.date.available
2023-03-03T13:52:04Z
dc.identifier.uri
https://refubium.fu-berlin.de/handle/fub188/38201
dc.identifier.uri
http://dx.doi.org/10.17169/refubium-37918
dc.description.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.
en
dc.format.extent
44 Seiten
dc.rights.uri
https://creativecommons.org/licenses/by/4.0/
dc.subject
Coherent system
en
dc.subject
moduli space
en
dc.subject
geometric invariant theory
en
dc.subject
semistability
en
dc.subject
linearization
en
dc.subject.ddc
500 Naturwissenschaften und Mathematik::510 Mathematik::510 Mathematik
dc.title
A general notion of coherent systems
dc.type
Wissenschaftlicher Artikel
dcterms.bibliographicCitation.doi
10.4171/rmi/1314
dcterms.bibliographicCitation.journaltitle
Revista Matemática Iberoamericana
dcterms.bibliographicCitation.number
6
dcterms.bibliographicCitation.pagestart
1783
dcterms.bibliographicCitation.pageend
1826
dcterms.bibliographicCitation.volume
38
dcterms.bibliographicCitation.url
https://doi.org/10.4171/rmi/1314
refubium.affiliation
Mathematik und Informatik
refubium.affiliation.other
Institut für Mathematik
refubium.resourceType.isindependentpub
no
dcterms.accessRights.openaire
open access
dcterms.isPartOf.eissn
2235-0616
refubium.resourceType.provider
WoS-Alert