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On projections of real algebraic varieties.

dc.contributor.authorAndradas Heranz, Carlos
dc.contributor.authorGamboa Mutuberria, José Manuel
dc.date.accessioned2023-06-21T02:01:31Z
dc.date.available2023-06-21T02:01:31Z
dc.date.issued1986
dc.description.abstractIn this paper we generalize an earlier result of the authors, showing that any closed semialgebraic set whose Zariski-closure is irreducible, is the projection under a finite map of an irreducible real algebraic set (see Theorem 3.2 below).
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipCAICYT
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/14868
dc.identifier.issn0030-8730
dc.identifier.officialurlhttp://pjm.math.berkeley.edu/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/64611
dc.issue.number2
dc.journal.titlePacific Journal of Mathematics
dc.language.isoeng
dc.page.final291
dc.page.initial281
dc.publisherPacific Journal of Mathematics
dc.relation.projectIDno.2280/83.
dc.rights.accessRightsopen access
dc.subject.cdu512.7
dc.subject.keywordIrreducible closed semialgebraic set
dc.subject.keywordOrders of function fields
dc.subject.keywordReal algebraic sets
dc.subject.ucmGeometria algebraica
dc.subject.unesco1201.01 Geometría Algebraica
dc.titleOn projections of real algebraic varieties.
dc.typejournal article
dc.volume.number121
dcterms.referencesA-G] C. Andradas and J. M. Gamboa, A note on projections of real algebraic sets, Pacific J. Math., 115 (1984), 1-11. [B] G. W. Brumfiel, Partially ordered fields and semialgebraic geometry, London Math. Soc. Lecture Notes 37, (1979). [C-R] M. Coste and M. F. Roy, La topologie du spectre reel, Cont. Math., 8 (1982), 27-59. [D-R] D. W. Dubois and T. Recio, Order extensions and real algebraic geometry, Cont. Math., 8 (1982), 265-288. [E-L-W] R. Elman, T. Y. Lam and A. Wadsworth, Orderings under field extensions, J. reine ang. Math., 306 (1979), 7-27. [H] R. Hartshorne, Algebraic Geometry, G.T.M. 52, Springer-Verlag, (1977). [P] A. Prestel, Lectures on formally real fields, I.M.P.A. no. 25, (1975).
dspace.entity.typePublication
relation.isAuthorOfPublicationa74c23fe-4059-4e73-806b-71967e14ab67
relation.isAuthorOfPublication8fcb811a-8d76-49a2-af34-85951d7f3fa5
relation.isAuthorOfPublication.latestForDiscoverya74c23fe-4059-4e73-806b-71967e14ab67

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