Aviso: para depositar documentos, por favor, inicia sesión e identifícate con tu cuenta de correo institucional de la UCM con el botón MI CUENTA UCM. No emplees la opción AUTENTICACIÓN CON CONTRASEÑA
 

Automorphisms of moduli spaces of symplectic bundles.

Simple item page
dc.contributor.authorBiswas, Indranil
dc.contributor.authorGómez, Tomás L.
dc.contributor.authorMuñoz, Vicente
dc.date.accessioned2023-06-20T00:18:38Z
dc.date.available2023-06-20T00:18:38Z
dc.date.issued2012
dc.description.abstractLet X be an irreducible smooth complex projective curve of genus g >= 4. Fix a line bundle L on X. Let M-Sp (L) be the moduli space of semistable symplectic bundles (E,(sic) : E circle times E -> L) on X, with the symplectic form taking values in L. We show that the automorphism group of M-Sp (L) is generated by the automorphisms of the form E bar right arrow E circle times M, where M-2 congruent to O-X, together with the automorphisms induced by automorphisms of X.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipSpanish Ministerio de Ciencia e Innovacion.
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/16944
dc.identifier.doi10.1142/S0129167X12500528
dc.identifier.issn0129-167X
dc.identifier.officialurlhttp://www.worldscinet.com/ijm/ijm.shtml
dc.identifier.relatedurlhttp://www.worldscinet.com
dc.identifier.urihttps://hdl.handle.net/20.500.14352/42373
dc.issue.number5
dc.journal.titleInternational Journal Mathematics
dc.language.isoeng
dc.page.initial1250052
dc.publisherWorld Scientific publ PUBL co pte ltd
dc.relation.projectIDMTM2007-63582
dc.rights.accessRightsrestricted access
dc.subject.cdu512.7
dc.subject.keywordModuli space
dc.subject.keywordSymplectic bundle
dc.subject.keywordAutomorphism
dc.subject.keywordHiggs bundle
dc.subject.keywordComplex projective curve
dc.subject.ucmGeometria algebraica
dc.subject.unesco1201.01 Geometría Algebraica
dc.titleAutomorphisms of moduli spaces of symplectic bundles.
dc.typejournal article
dc.volume.number23
dcterms.referencesA. Beauville, M. S. Narasimhan and S. Ramanan, Spectral curves and the generalised theta divisor, Jour. Reine U. N. Bhosle, Generalized parabolic bundles and applications–II, Proc. Indian Acad. Sci.(Math. Sci.) 106 (1996), 403–420. I. Biswas and T. L. Gomez, Hecke correspondence for symplectic bundles with application to the Picard Bundles, Inter. Jour. Math. 17 (2006), 45–63. I. Biswas and N. Hoffmann, A Torelli theorem for moduli spaces of principal bundles over a curve, arXiv:1003.4061. J. Draisma, H. Kraft and J. Kuttler, Nilpotent subspaces of maximal dimension in semi-simple Lie algebras, Compos.Math. 142 (2006), 464–476. G. Faltings, Stable G-bundles and projective connections,Jour. Algebraic Geom. 2 (1993)507–568. N. J. Hitchin, Stable bundles and integrable systems, Duke Math. Jour. 54 (1987), 91–114. J.-M. Hwang and S. Ramanan, Hecke curves and Hitchin discriminant, Ann. Sci. Ecole Norm. Sup. 37 (2004), 801–817. A. Kouvidakis and T. Pantev, The automorphism group of the moduli space of semistable vector bundles, Math. Ann. 302 (1995), 225–268. G. Laumon, Un analogue global du cˆone nilpotent, Duke Math. J. 57 (1988), 647–671. C. T. Simpson, Moduli of representations of the fundamental group of a smooth projective variety, II, Publ. Math. I.H.E.S. 80 (1995), 5–79.
dspace.entity.typePublication

Download

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
VMuñoz01.pdf
Size:
254.15 KB
Format:
Adobe Portable Document Format
Download

Collections

Artículos