A Note On Cohomology Over Non Algebraically Closed Fields
dc.contributor.author | Gamboa Mutuberria, José Manuel | |
dc.date.accessioned | 2023-06-20T16:51:53Z | |
dc.date.available | 2023-06-20T16:51:53Z | |
dc.date.issued | 1999 | |
dc.description.abstract | We characterise algebraically closed fields as those for which the first cohomology group tf^fc^On) of the sheaf On of regular functions over kn vanishes for all positive intergers n. | |
dc.description.department | Depto. de Álgebra, Geometría y Topología | |
dc.description.faculty | Fac. de Ciencias Matemáticas | |
dc.description.refereed | TRUE | |
dc.description.sponsorship | DGICYT PB95-0354. | |
dc.description.status | pub | |
dc.eprint.id | https://eprints.ucm.es/id/eprint/15328 | |
dc.identifier.doi | 10.1017/S0004972700033335 | |
dc.identifier.issn | 0004-9727 | |
dc.identifier.officialurl | http://journals.cambridge.org/download.php?file=%2FBAZ%2FBAZ60_01%2FS0004972700033335a.pdf&code=d528a7711 | |
dc.identifier.relatedurl | http://www.cambridge.org | |
dc.identifier.uri | https://hdl.handle.net/20.500.14352/57266 | |
dc.issue.number | 1 | |
dc.journal.title | Bulletin Of The Australian Mathematical Society | |
dc.language.iso | eng | |
dc.page.final | 72 | |
dc.page.initial | 67 | |
dc.publisher | Australian Mathematics | |
dc.relation.projectID | 0004-9729/99 | |
dc.rights.accessRights | restricted access | |
dc.subject.cdu | 512.7 | |
dc.subject.keyword | Sheaf Of Regular Functions | |
dc.subject.keyword | First Cohomology Group | |
dc.subject.keyword | Algebraically Closed Fields | |
dc.subject.ucm | Geometria algebraica | |
dc.subject.unesco | 1201.01 Geometría Algebraica | |
dc.title | A Note On Cohomology Over Non Algebraically Closed Fields | |
dc.type | journal article | |
dc.volume.number | 60 | |
dcterms.references | R. Hartshorne, Algebraic geometry, Graduate Texts in Mathematics 52 (Springer-Verlag,Berlin, Heidelberg, New York, 1977). J.P. Serre,'Faisceaux algebriques coherents', Ann. of Math. Stud. 61 (1955), 197-258. 72 J.M. A. Tognoli, 'Some basic facts in algebraic geometry on a non algebraically closed field', Ann. Scuola Normal Sup. Pisa Cl. Sci. 3 (1976), 341-359. | |
dspace.entity.type | Publication | |
relation.isAuthorOfPublication | 8fcb811a-8d76-49a2-af34-85951d7f3fa5 | |
relation.isAuthorOfPublication.latestForDiscovery | 8fcb811a-8d76-49a2-af34-85951d7f3fa5 |
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