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http://dx.doi.org/10.18419/opus-13381
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DC Element | Wert | Sprache |
---|---|---|
dc.contributor.author | Marks, Frederik | - |
dc.contributor.author | Zvonareva, Alexandra | - |
dc.date.accessioned | 2023-08-08T11:49:06Z | - |
dc.date.available | 2023-08-08T11:49:06Z | - |
dc.date.issued | 2022 | de |
dc.identifier.issn | 1469-2120 | - |
dc.identifier.issn | 0024-6093 | - |
dc.identifier.other | 185871849X | - |
dc.identifier.uri | http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-ds-134000 | de |
dc.identifier.uri | http://elib.uni-stuttgart.de/handle/11682/13400 | - |
dc.identifier.uri | http://dx.doi.org/10.18419/opus-13381 | - |
dc.description.abstract | We explore the interplay between t-structures in the bounded derived category of finitely presented modules and the unbounded derived category of all modules over a coherent ring 𝐴 using homotopy colimits. More precisely, we show that every intermediate t-structure in 𝐷𝑏(mod(𝐴)) can be lifted to a compactly generated t-structure in 𝐷(Mod(𝐴)), by closing the aisle and the coaisle of the t-structure under directed homotopy colimits. Conversely, we provide necessary and sufficient conditions for a compactly generated t-structure in 𝐷(Mod(𝐴)) to restrict to an intermediate t-structure in 𝐷𝑏(mod(𝐴)), thus describing which t-structures can be obtained via lifting. We apply our results to the special case of HRS t-structures. Finally, we discuss various applications to silting theory in the context of finite dimensional algebras. | en |
dc.description.sponsorship | Deutsche Forschungsgemeinschaft | de |
dc.description.sponsorship | Baden-Württemberg Stiftung | de |
dc.language.iso | en | de |
dc.relation.uri | doi:10.1112/blms.12746 | de |
dc.rights | info:eu-repo/semantics/openAccess | de |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | de |
dc.subject.ddc | 510 | de |
dc.title | Lifting and restricting t‐structures | en |
dc.type | article | de |
dc.date.updated | 2023-04-19T14:40:46Z | - |
ubs.fakultaet | Mathematik und Physik | de |
ubs.institut | Institut für Algebra und Zahlentheorie | de |
ubs.publikation.seiten | 640-657 | de |
ubs.publikation.source | Bulletin of the London mathematical society 55 (2023), S. 640-657 | de |
ubs.publikation.typ | Zeitschriftenartikel | de |
Enthalten in den Sammlungen: | 08 Fakultät Mathematik und Physik |
Dateien zu dieser Ressource:
Datei | Beschreibung | Größe | Format | |
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BLMS_BLMS12746.pdf | 276,37 kB | Adobe PDF | Öffnen/Anzeigen |
Diese Ressource wurde unter folgender Copyright-Bestimmung veröffentlicht: Lizenz von Creative Commons