Derived log Albanese sheaves

dc.date.accessioned	2024-03-13T22:58:00Z
dc.date.available	2024-03-13T22:58:00Z
dc.date.created	2023-01-23T15:48:23Z
dc.date.issued	2023
dc.identifier.citation	Binda, Federico Merici, Alberto Saito, Shuji . Derived log Albanese sheaves. Advances in Mathematics. 2023, 417
dc.identifier.uri	http://hdl.handle.net/10852/109562
dc.description.abstract	We define higher pro-Albanese functors for every effective log motive over a field k of characteristic zero, and we compute them for every smooth log smooth scheme X = (X, ∂X). The result involves an inverse system of the coherent cohomology of the underlying scheme as well as a pro-group scheme Alblog(X) that extends Serre’s semi-abelian Albanese variety of X − \|∂X\|. This generalizes the higher Albanese sheaves of Ayoub, Barbieri-Viale and Kahn and is related to an old question of Grothendieck.
dc.description.abstract	Derived log Albanese sheaves
dc.language	EN
dc.rights	Attribution 4.0 International
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/
dc.title	Derived log Albanese sheaves
dc.title.alternative	ENEngelskEnglishDerived log Albanese sheaves
dc.type	Journal article
dc.creator.author	Binda, Federico
dc.creator.author	Merici, Alberto
dc.creator.author	Saito, Shuji
cristin.unitcode	185,15,13,55
cristin.unitname	Algebra, geometri og topologi
cristin.ispublished	true
cristin.fulltext	original
cristin.qualitycode	2
dc.identifier.cristin	2113474
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=Advances in Mathematics&rft.volume=417&rft.spage=&rft.date=2023
dc.identifier.jtitle	Advances in Mathematics
dc.identifier.volume	417
dc.identifier.doi	https://doi.org/10.1016/j.aim.2023.108936
dc.subject.nvi	VDP::Algebra/algebraisk analyse: 414VDP::Topologi/geometri: 415
dc.type.document	Tidsskriftartikkel
dc.type.peerreviewed	Peer reviewed
dc.source.issn	0001-8708
dc.type.version	PublishedVersion
cristin.articleid	108936
dc.relation.project	NFR/313472