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Rationality and Brauer group of a moduli space of framed bundles.

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dc.contributor.authorBiswas, Indranil
dc.contributor.authorGómez , Tomás L.
dc.contributor.authorMuñoz, Vicente
dc.date.accessioned2023-06-20T03:32:01Z
dc.date.available2023-06-20T03:32:01Z
dc.date.issued2011
dc.description.abstractWe prove that the moduli spaces of framed bundles over a smooth projective curve are rational. We compute the Brauer group of these moduli spaces to be zero under some assumption on the stability parameter.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/20856
dc.identifier.issn1875-158X
dc.identifier.officialurlhttp://arxiv.org/pdf/1110.0384v2.pdf
dc.identifier.relatedurlhttp://www.tcms.org.ge/Journals/TMJ/index.html
dc.identifier.urihttps://hdl.handle.net/20.500.14352/43758
dc.journal.titleTbilisi Mathematical Journal
dc.language.isoeng
dc.page.final38
dc.page.initial31
dc.publisherBoard
dc.rights.accessRightsopen access
dc.subject.cdu512.7
dc.subject.keywordBrauer group
dc.subject.keywordRationality
dc.subject.keywordFramed bundle
dc.subject.keywordTable bundle.
dc.subject.ucmGeometria algebraica
dc.subject.unesco1201.01 Geometría Algebraica
dc.titleRationality and Brauer group of a moduli space of framed bundles.
dc.typejournal article
dc.volume.number4
dcterms.referencesV. Balaji, I. Biswas, O. Gabber and D. S. Nagaraj, Brauer obstruction for a universal vector bundle. Comp. Rend. Acad. Sci. Paris 345 (2007), 265–268. I. Biswas, T. G´omez and V. Muñoz, Torelli theorem for the moduli space of framed bundles,Math. Proc. Camb. Phil. Soc. 148 (2010), 409–423. H. U. Boden and K. Yokogawa, Rationality of moduli spaces of parabolic bundles, Jour. London Math. Soc. 59 (1999), 461–478. O. Gabber, Some theorems on Azumaya algebras, in: The Brauer Group, pp. 129–209, Lecture Notes in Math., Vol. 844, Springer, Berlin–New York, 1981. N. Hoffmann, Rationality and Poincar´e families for vector bundles with extra structure on a curve, Int. Math. Res. Not. 2007, no. 3, Art. ID rnm010, 30 pp. N. Hoffmann, Moduli stacks of vector bundles on curves and the King-Schofield rationality proof, in: Cohomological and geometric approaches to rationality problems, pp. 133–148, Progr.Math., 282, Birkhauser Boston, Inc., Boston, MA, 2010. D. Huybrechts and M. Lehn, Framed modules and their moduli, Int. Jour. Math. 6 (1995),297–324. M. Maruyama, Openness of a family of torsion free sheaves, Jour. Math. Kyoto Univ. 16 (1976),627–637.
dspace.entity.typePublication

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