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Stable Higgs G-sheaves

dc.contributor.authorGómez, Tomás L.
dc.contributor.authorSols Lucía, Ignacio
dc.date.accessioned2023-06-20T10:33:50Z
dc.date.available2023-06-20T10:33:50Z
dc.date.issued2008
dc.description.abstractFor a connected reductive group G, we generalize the notion of (semi)stable Higgs G-bundles on curves to smooth projective schemes of higher dimension, allowing also Higgs G-sheaves, and construct the corresponding moduli space.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Educación y Ciencia
dc.description.sponsorshipComunidad Autónoma de Madrid
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/20539
dc.identifier.doi10.4171/RMI/553
dc.identifier.issn0213-2230
dc.identifier.officialurlhttp://www.ems-ph.org/journals/show_abstract.php?issn=0213-2230&vol=24&iss=2&rank=14
dc.identifier.relatedurlhttp://www.ems-ph.org/home.php
dc.identifier.relatedurlhttp://projecteuclid.org/DPubS?verb=Display&version=1.0&service=UI&handle=euclid.rmi/1218475360&page=record
dc.identifier.relatedurlhttp://projecteuclid.org/DPubS?Service=UI&version=1.0&verb=Display&handle=euclid
dc.identifier.urihttps://hdl.handle.net/20.500.14352/50534
dc.issue.number2
dc.journal.titleRevista Matemática Iberoamericana
dc.page.final719
dc.page.initial703
dc.publisherUniversidad Autónoma Madrid
dc.relation.projectIDMTM2004-07090-C03-02
dc.relation.projectID200650M066
dc.rights.accessRightsmetadata only access
dc.subject.cdu512
dc.subject.keywordModuli spaces
dc.subject.keywordPrincipal bundles
dc.subject.keywordHiggs bundles
dc.subject.keywordProjective varieties
dc.subject.keywordCurves
dc.subject.ucmÁlgebra
dc.subject.unesco1201 Álgebra
dc.titleStable Higgs G-sheaves
dc.typejournal article
dc.volume.number24
dcterms.referencesANCHOUCHE, B. AND BISWAS, I.: Einstein–Hermitian connections on polystable principal bundles over a compact Kähler manifold. Amer. J. Math. 123 (2001), 207–228. BALAJI, V.: Principal bundles on projective varieties and the Donaldson-Uhlenbeck compactification. J. Differential Geom. 76 (2007), no. 3, 351–398. BEAUVILLE, A., NARASIMHAN, M. S. AND RAMANAN, S.: Spectral curves and the generalised theta divisor. J. Reine Angew. Math. 398 (1989), 169–179. GÓMEZ, T., LANGER, A., SCHMITT, A. AND SOLS, I.: Moduli spaces for principal bundles in large characteristic. To appear in Proceedings "International Workshop on Teichmüller Theory and Moduli Problems", Allahabad 2006. India. GÓMEZ, T. AND SOLS, I.: Moduli space of principal sheaves over projective varieties. Annals of Math. (2) 161 (2005), no. 2, 1037–1092. HITCHIN, N. J.: The self-duality equations on a Riemann surface. Proc. London Math. Soc. (3) 55 (1987), 59–126. HUYBRECHTS, D. AND LEHN, M.: The geometry of moduli spaces of sheaves. Aspects of Mathematics E31. Friedr. Vieweg & Sohn, Braunschweig, 1997. SCHMITT, A. H. W.: Projective moduli for Hitchin pairs. Internat. J. Math. 9 (1998), no. 1, 107–118; Erratum: 11 (2000), no. 4, 589. SCHMITT, A. H. W.: Singular principal bundles over higher-dimensional manifolds and their moduli spaces. Int. Math. Res. Not. 2002, no. 23, 1183–1209. SCHMITT, A. H. W.: A universal construction for moduli spaces of decorated vector bundles over curves. Transform. Groups 9 (2004), no. 2, 167–209. SCHMITT, A. H. W.: A closer look at semistability for singular principal bundles. Int. Math. Res. Not. 2004, no. 62, 3327–3366. SCHMITT, A. H. W.: A relative version of geometric invariant theory. In preparation (2007). SIMPSON, C.: Higgs bundles and local systems. Inst. Hautes Études Sci. Publ. Math. 75 (1992), 5–95. SIMPSON, C.: Moduli of representations of the fundamental group of a smooth projective variety I. Inst. Hautes Études Sci. Publ. Math. 79 (1994), 47–129. SIMPSON, C.: Moduli of representations of the fundamental group of a smooth projective variety II. Inst. Hautes Études Sci. Publ. Math. 80 (1995), 5–79.
dspace.entity.typePublication
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relation.isAuthorOfPublication.latestForDiscovery6d35def4-3d5f-4978-800f-82b7edf76b5d

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