Geometric models for algebraic suspensions

dc.date.accessioned	2023-06-02T15:50:57Z
dc.date.available	2023-06-02T15:50:57Z
dc.date.created	2023-05-31T08:52:55Z
dc.date.issued	2023
dc.identifier.citation	Østvær, Paul Arne Asok, Aravind Dubouloz, Adrien . Geometric models for algebraic suspensions. International Mathematics Research Notices (IMRN). 2023, 1-34
dc.identifier.uri	http://hdl.handle.net/10852/102432
dc.description.abstract	We analyze the question of which motivic homotopy types admit smooth schemes as representatives. We show that given a pointed smooth affine scheme X and an embedding into affine space, the affine deformation space of the embedding gives a model for the P1 suspension of X⁠; we also analyze a host of variations on this observation. Our approach yields many examples of A1-(n−1)-connected smooth affine 2n-folds and strictly quasi-affine A1-contractible smooth schemes.
dc.language	EN
dc.rights	Attribution 4.0 International
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/
dc.title	Geometric models for algebraic suspensions
dc.title.alternative	ENEngelskEnglishGeometric models for algebraic suspensions
dc.type	Journal article
dc.creator.author	Østvær, Paul Arne
dc.creator.author	Asok, Aravind
dc.creator.author	Dubouloz, Adrien
cristin.unitcode	185,15,13,55
cristin.unitname	Algebra, geometri og topologi
cristin.ispublished	true
cristin.fulltext	original
cristin.qualitycode	2
dc.identifier.cristin	2150342
dc.identifier.bibliographiccitation	info:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=International Mathematics Research Notices (IMRN)&rft.volume=&rft.spage=1&rft.date=2023
dc.identifier.jtitle	International Mathematics Research Notices (IMRN)
dc.identifier.startpage	1
dc.identifier.endpage	34
dc.identifier.doi	https://doi.org/10.1093/imrn/rnad094
dc.type.document	Tidsskriftartikkel
dc.type.peerreviewed	Peer reviewed
dc.source.issn	1073-7928
dc.type.version	PublishedVersion
dc.relation.project	NFR/312472