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The rigid syntomic ring spectrum

hal.structure.identifierÉcole normale supérieure de Lyon [ENS de Lyon]
dc.contributor.authorDÉGLISE, Frédéric
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorMAZZARI, Nicola
dc.date.accessioned2024-04-04T03:00:28Z
dc.date.available2024-04-04T03:00:28Z
dc.date.created2012-11-21
dc.date.issued2015-10-01
dc.identifier.issn1474-7480
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/192819
dc.description.abstractEnThe aim of this paper is to show that Besser syntomic cohomology is representable by a rational ring spectrum in the motivic homotopical sense. In fact, extending previous constructions, we exhibit a simple representability criterion and we apply it to several cohomologies in order to get our central result. This theorem gives new results for syntomic cohomology such as h-descent and the compatibility of cycle classes with Gysin morphisms. Along the way, we prove that motivic ring spectra induces a complete Bloch-Ogus cohomological formalism and even more. Finally, following a general motivic homotopical philosophy, we exhibit a natural notion of syntomic coefficients.
dc.language.isoen
dc.publisherCambridge University Press (CUP)
dc.subject.enRigid syntomic cohomology
dc.subject.enBeilinson motives
dc.subject.enBloch-Ogus
dc.title.enThe rigid syntomic ring spectrum
dc.typeArticle de revue
dc.identifier.doi10.1017/S1474748014000152
dc.subject.halMathématiques [math]/K-théorie et homologie [math.KT]
dc.subject.halMathématiques [math]/Théorie des nombres [math.NT]
dc.identifier.arxiv1211.5065
bordeaux.journalJournal of the Institute of Mathematics of Jussieu
bordeaux.pagep. 1-47
bordeaux.volume14
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue4
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00772055
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00772055v1
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