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Cohomology of cluster varieties II: Acyclic case
dc.contributor.authorLam, Thomas
dc.contributor.authorSpeyer, David E
dc.date.accessioned2023-12-04T20:24:45Z
dc.date.available2025-01-04 15:24:44en
dc.date.available2023-12-04T20:24:45Z
dc.date.issued2023-12
dc.identifier.citationLam, Thomas; Speyer, David E (2023). "Cohomology of cluster varieties II: Acyclic case." Journal of the London Mathematical Society 108(6): 2377-2414.
dc.identifier.issn0024-6107
dc.identifier.issn1469-7750
dc.identifier.urihttps://hdl.handle.net/2027.42/191580
dc.description.abstractIn the previous work, we initiated the study of the cohomology of locally acyclic cluster varieties. In the present work, we show that the mixed Hodge structure and point counts of acyclic cluster varieties are essentially determined by the combinatorics of the independent sets of the quiver. We use this to show that the mixed Hodge numbers of acyclic cluster varieties of really full rank satisfy a strong vanishing condition.
dc.publisherCambridge University Press
dc.publisherWiley Periodicals, Inc.
dc.titleCohomology of cluster varieties II: Acyclic case
dc.typeArticle
dc.rights.robotsIndexNoFollow
dc.subject.hlbsecondlevelMathematics
dc.subject.hlbtoplevelScience
dc.description.peerreviewedPeer Reviewed
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/191580/1/jlms12809_am.pdf
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/191580/2/jlms12809.pdf
dc.identifier.doi10.1112/jlms.12809
dc.identifier.sourceJournal of the London Mathematical Society
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dc.working.doiNOen
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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