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dc.contributor.authorBergh, Petter Andreas
dc.contributor.authorPlavnik, Julia Yael
dc.contributor.authorWitherspoon, Sarah
dc.date.accessioned2022-09-16T13:10:19Z
dc.date.available2022-09-16T13:10:19Z
dc.date.created2021-11-26T12:07:49Z
dc.date.issued2021
dc.identifier.citationJournal of Pure and Applied Algebra. 2021, 225 (9), .en_US
dc.identifier.issn0022-4049
dc.identifier.urihttps://hdl.handle.net/11250/3018502
dc.description.abstractWe advance support variety theory for finite tensor categories. First we show that the dimension of the support variety of an object equals the rate of growth of a minimal projective resolution as measured by the Frobenius-Perron dimension. Then we show that every conical subvariety of the support variety of the unit object may be realized as the support variety of an object. Finally, we show that the support variety of an indecomposable object is connected.en_US
dc.language.isoengen_US
dc.publisherElsevieren_US
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internasjonal*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/deed.no*
dc.titleSupport varieties for finite tensor categories: Complexity, realization, and connectednessen_US
dc.typeJournal articleen_US
dc.typePeer revieweden_US
dc.description.versionacceptedVersionen_US
dc.rights.holderThis article will not be available until September 2023 due to publisher embargo - This manuscript version is made available under the CC-BY-NC-ND 4.0 licenseen_US
dc.source.pagenumber0en_US
dc.source.volume225en_US
dc.source.journalJournal of Pure and Applied Algebraen_US
dc.source.issue9en_US
dc.identifier.doi10.1016/j.jpaa.2021.106705
dc.identifier.cristin1959681
cristin.ispublishedtrue
cristin.fulltextpostprint
cristin.qualitycode1


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Attribution-NonCommercial-NoDerivatives 4.0 Internasjonal
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