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| dc.creator | Burgos Gil, José I. | |
| dc.date | 2011-03-08T09:49:16Z | |
| dc.date | 2011-03-08T09:49:16Z | |
| dc.date | 2008 | |
| dc.date.accessioned | 2024-12-16T10:26:18Z | |
| dc.date.available | 2024-12-16T10:26:18Z | |
| dc.identifier | 0010-0757 | |
| dc.identifier | http://hdl.handle.net/2445/16924 | |
| dc.identifier | 555915 | |
| dc.identifier.uri | http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/20859 | |
| dc.description | In this paper we define the formal and tempered Deligne cohomology groups, that are obtained by applying the Deligne complex functor to the complexes of formal differential forms and tempered currents respectively. We then prove the existence of a duality between them, a vanishing theorem for the former and a semipurity property for the latter. The motivation of these results comes from the study of covariant arithmetic Chow groups. The semipurity property of tempered Deligne cohomology implies, in particular, that several definitions of covariant arithmetic Chow groups agree for projective arithmetic varieties. | |
| dc.format | 24 p. | |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universitat de Barcelona | |
| dc.relation | Reproducció del document publicat a: http://www.collectanea.ub.edu/index.php/Collectanea/article/view/5157/6332 | |
| dc.relation | Collectanea Mathematica, 2008, vol. 59, num. 1, p. 79-102 | |
| dc.rights | (c) Universitat de Barcelona, 2008 | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | |
| dc.subject | Geometria algebraica | |
| dc.subject | Algebraic geometry | |
| dc.title | Semi-purity of tempered Deligne cohomology | |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion |
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