dc.contributor.author
Altmann, Klaus
dc.contributor.author
Altmann, Martin
dc.date.accessioned
2022-08-31T12:40:57Z
dc.date.available
2022-08-31T12:40:57Z
dc.identifier.uri
https://refubium.fu-berlin.de/handle/fub188/33987
dc.identifier.uri
http://dx.doi.org/10.17169/refubium-33706
dc.description.abstract
We investigate maximal exceptional sequences of line bundles on (P1)r, i.e., those consisting of 2r elements. For r=3 we show that they are always full, meaning that they generate the derived category. Everything is done in the discrete setup: Exceptional sequences of line bundles appear as special finite subsets s of the Picard group Zr of (P1)r, and the question of generation is understood like a process of contamination of the whole Zr out of an infectious seed s.
en
dc.format.extent
18 Seiten
dc.rights.uri
https://creativecommons.org/licenses/by/4.0/
dc.subject
Exceptional sequences
en
dc.subject
Line bundles
en
dc.subject
Derived category
en
dc.subject
Line configurations
en
dc.subject.ddc
500 Naturwissenschaften und Mathematik::510 Mathematik::510 Mathematik
dc.title
Exceptional sequences of 8 line bundles on (P1)3
dc.type
Wissenschaftlicher Artikel
dcterms.bibliographicCitation.doi
10.1007/s10801-021-01112-z
dcterms.bibliographicCitation.journaltitle
Journal of Algebraic Combinatorics
dcterms.bibliographicCitation.number
2
dcterms.bibliographicCitation.pagestart
305
dcterms.bibliographicCitation.pageend
322
dcterms.bibliographicCitation.volume
56
dcterms.bibliographicCitation.url
https://doi.org/10.1007/s10801-021-01112-z
refubium.affiliation
Mathematik und Informatik
refubium.affiliation.other
Institut für Mathematik
refubium.funding
Springer Nature DEAL
refubium.note.author
Die Publikation wurde aus Open Access Publikationsgeldern der Freien Universität Berlin gefördert.
refubium.resourceType.isindependentpub
no
dcterms.accessRights.openaire
open access
dcterms.isPartOf.eissn
1572-9192
