dc.identifier.uri |
http://dx.doi.org/10.15488/2708 |
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dc.identifier.uri |
http://www.repo.uni-hannover.de/handle/123456789/2734 |
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dc.contributor.author |
Jørgensen, Peter
|
|
dc.contributor.author |
Pauksztello, David
|
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dc.date.accessioned |
2018-01-29T14:34:08Z |
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dc.date.available |
2018-01-29T14:34:08Z |
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dc.date.issued |
2013 |
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dc.identifier.citation |
Jørgensen, P.; Pauksztello, D.: The co-stability manifold of a triangulated category. In: Glasgow Mathematical Journal 55 (2013), Nr. 1, S. 161-175. DOI: https://doi.org/10.1017/S0017089512000420 |
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dc.description.abstract |
Abstract Stability conditions on triangulated categories were introduced by Bridgeland as a 'continuous' generalisation of t-structures. The set of locally-finite stability conditions on a triangulated category is a manifold that has been studied intensively. However, there are mainstream triangulated categories whose stability manifold is the empty set. One example is D c(k[X]/(X 2)), the compact derived category of the dual numbers over an algebraically closed field k. This is one of the motivations in this paper for introducing co-stability conditions as a 'continuous' generalisation of co-t-structures. Our main result is that the set of nice co-stability conditions on a triangulated category is a manifold. In particular, we show that the co-stability manifold of D c(k[X]/(X 2)) is â. Copyright © Glasgow Mathematical Journal Trust 2012. |
eng |
dc.language.iso |
eng |
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dc.publisher |
Cambridge : Cambridge University Press |
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dc.relation.ispartofseries |
Glasgow Mathematical Journal 55 (2013), Nr. 1 |
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dc.rights |
Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. Dieser Beitrag ist aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich. |
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dc.subject |
2010 Mathematics Subject Classification 18E30 |
eng |
dc.subject.ddc |
510 | Mathematik
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ger |
dc.title |
The co-stability manifold of a triangulated category |
eng |
dc.type |
Article |
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dc.type |
Text |
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dc.relation.issn |
0017-0895 |
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dc.relation.doi |
https://doi.org/10.1017/S0017089512000420 |
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dc.bibliographicCitation.issue |
1 |
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dc.bibliographicCitation.volume |
55 |
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dc.bibliographicCitation.firstPage |
161 |
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dc.bibliographicCitation.lastPage |
175 |
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dc.description.version |
publishedVersion |
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tib.accessRights |
frei zug�nglich |
|