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Torus rational fibrations.

dc.contributor.authorMuñoz, Vicente
dc.date.accessioned2023-06-20T18:44:06Z
dc.date.available2023-06-20T18:44:06Z
dc.date.issued1999
dc.description.abstractWe study rational fibrations where the fibre is an r-dimensional torus and the base is a formal space. We make use of the Eilenberg{Moore Spectral Sequence to prove the Toral Rank Conjecture in some cases.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Educacion y Cultura
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/21293
dc.identifier.doi10.1016/S0022-4049(98)00004-8,
dc.identifier.issn0022-4049
dc.identifier.officialurlhttp://www.sciencedirect.com/science/article/pii/S0022404998000048
dc.identifier.relatedurlhttp://www.sciencedirect.com
dc.identifier.urihttps://hdl.handle.net/20.500.14352/58467
dc.issue.number3
dc.journal.titleJournal of Pure and Applied Algebra
dc.language.isoeng
dc.page.final259
dc.page.initial251
dc.publisherElsevier Science B.V. (North-Holland)
dc.rights.accessRightsopen access
dc.subject.cdu5151.1
dc.subject.ucmTopología
dc.subject.unesco1210 Topología
dc.titleTorus rational fibrations.
dc.typejournal article
dc.volume.number140
dcterms.referencesC. Allday, S. Halperin, Lie group actions on spaces of finite rank, Quart. J. Math. Oxford 28 (1978)63-76. M. Atiyah, I. Macdonald, Introduction to Commutative Algebra, Addison-Wesley, Reading, MA, 1969. Y. Felix, La dichotomie elliptique-hyperbolique en homotopie rationnelle, Asterisque 176 (1989). Y. Felix, D. Tanre, J-C. Thomas, Minimal models and geometry, preprint, 1993. P-P. Grivel, Formes differentielles et suites spectrales, Ann. Inst. Fourier 29 (1979) 17-37. S. Halperin, Finiteness in the minimal models of Sullivan, Trans. Amer. Math. Soc. 230 (1977) 173-199. S. Halperin, Rational brations, minimal models, and fiberings of homogeneous spaces, Trans. Amer.Math. Soc. 244 (1978) 199-224. S. Halperin, Rational homotopy and torus actions, in:Aspects of Topology, In Memory of Hugh Dowker,Lecture Notes Series, vol. 93, 1985, pp. 293-306. J. McCleary, User's Guide to Spectral Sequences,Mathematics Lecture Series, vol. 12, Publish or Perish, Berkeley, CA,1985. D. Tanre, Homotopie Rationnelle: Modeles de Chen,Quillen, Sullivan, Lecture Notes in Maths,vol. 1025,Springer,Berlin, 1983.
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