dc.contributor.author | Bergh, Petter Andreas | |
dc.contributor.author | Plavnik, Julia Yael | |
dc.contributor.author | Witherspoon, Sarah | |
dc.date.accessioned | 2022-09-16T13:10:19Z | |
dc.date.available | 2022-09-16T13:10:19Z | |
dc.date.created | 2021-11-26T12:07:49Z | |
dc.date.issued | 2021 | |
dc.identifier.citation | Journal of Pure and Applied Algebra. 2021, 225 (9), . | en_US |
dc.identifier.issn | 0022-4049 | |
dc.identifier.uri | https://hdl.handle.net/11250/3018502 | |
dc.description.abstract | We 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.iso | eng | en_US |
dc.publisher | Elsevier | en_US |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/deed.no | * |
dc.title | Support varieties for finite tensor categories: Complexity, realization, and connectedness | en_US |
dc.type | Journal article | en_US |
dc.type | Peer reviewed | en_US |
dc.description.version | acceptedVersion | en_US |
dc.rights.holder | This 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 license | en_US |
dc.source.pagenumber | 0 | en_US |
dc.source.volume | 225 | en_US |
dc.source.journal | Journal of Pure and Applied Algebra | en_US |
dc.source.issue | 9 | en_US |
dc.identifier.doi | 10.1016/j.jpaa.2021.106705 | |
dc.identifier.cristin | 1959681 | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 1 | |