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dc.date.accessioned2021-10-25T15:19:47Z
dc.date.available2022-10-20T22:45:52Z
dc.date.created2021-09-29T10:38:23Z
dc.date.issued2021
dc.identifier.citationNicaise, Johannes Ottem, John Christian . A refinement of the motivic volume, and specialization of birational types. PROGRESS IN MATHEMATICS. 2021
dc.identifier.urihttp://hdl.handle.net/10852/89028
dc.description.abstractWe construct an upgrade of the motivic volume by keeping track of dimensions in the Grothendieck ring of varieties. This produces a uniform refinement of the motivic volume and its birational version introduced by Kontsevich and Tschinkel to prove the specialization of birational types. We also provide several explicit examples of obstructions to stable rationality arising from this technique.
dc.languageEN
dc.titleA refinement of the motivic volume, and specialization of birational types
dc.typeJournal article
dc.creator.authorNicaise, Johannes
dc.creator.authorOttem, John Christian
cristin.unitcode185,15,13,55
cristin.unitnameAlgebra, geometri og topologi
cristin.ispublishedtrue
cristin.fulltextpostprint
cristin.qualitycode0
dc.identifier.cristin1940360
dc.identifier.bibliographiccitationinfo:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=PROGRESS IN MATHEMATICS&rft.volume=&rft.spage=&rft.date=2021
dc.identifier.jtitlePROGRESS IN MATHEMATICS
dc.identifier.volume342
dc.identifier.doihttps://doi.org/10.1007/978-3-030-75421-1_11
dc.identifier.urnURN:NBN:no-91640
dc.type.documentTidsskriftartikkel
dc.type.peerreviewedPeer reviewed
dc.source.issn0743-1643
dc.identifier.fulltextFulltext https://www.duo.uio.no/bitstream/handle/10852/89028/1/2004.08161.pdf
dc.type.versionAcceptedVersion
dc.relation.projectNFR/250104


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