Publicação
Principal Schottky bundles over Riemann surfaces
| dc.contributor.author | Casimiro, A. C. | |
| dc.contributor.author | Ferreira, Susana | |
| dc.contributor.author | Florentino, C. | |
| dc.date.accessioned | 2026-03-06T12:04:50Z | |
| dc.date.available | 2026-03-06T12:04:50Z | |
| dc.date.issued | 2018-10-16 | |
| dc.description.abstract | We introduce and study (strict) Schottky G-bundles over a compact Riemann surface X, where G is a connected reductive algebraic group. Strict Schottky representations are shown to be related to branes in the moduli space of G-Higgs bundles over X, and we prove that all Schottky G-bundles have trivial topological type. Generalizing the Schottky moduli map introduced in Florentino (Manuscr Math 105:69–83, 2001) to the setting of principal bundles, we prove its local surjectivity at the good and unitary locus. Finally, we prove that the Schottky map is surjective onto the space of flat bundles for two special classes: when G is an abelian group over an arbitrary X, and the case of a general G-bundle over an elliptic curve. | eng |
| dc.description.sponsorship | This work was partially supported by the Projects PTDC/MAT/120411/2010, PTDC/MAT-GEO/0675/2012 and EXCL/MAT-GEO/0222/2012, UID/MAT/00297/2013, FCT, Portugal, and by the USA NSF Grants DMS 1107452, 1107263, 1107367 “RNMS: GEometric structures And Representation varieties” (the GEAR Network). | |
| dc.identifier.citation | Casimiro, A. C., Ferreira, S., & Florentino, C. (2019). Principal Schottky bundles over Riemann surfaces. Geometriae Dedicata, 201(1), 379-409. https://doi.org/10.1007/s10711-018-0398-2 | |
| dc.identifier.doi | 10.1007/s10711-018-0398-2 | |
| dc.identifier.issn | 0046-5755 | |
| dc.identifier.issn | 1572-9168 | |
| dc.identifier.uri | http://hdl.handle.net/10400.8/15796 | |
| dc.language.iso | eng | |
| dc.peerreviewed | yes | |
| dc.publisher | Springer Science and Business Media LLC | |
| dc.relation | UID/MAT/00297/2013 | |
| dc.relation.hasversion | https://link.springer.com/article/10.1007/s10711-018-0398-2 | |
| dc.relation.ispartof | Geometriae Dedicata | |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.title | Principal Schottky bundles over Riemann surfaces | eng |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 409 | |
| oaire.citation.issue | 1 | |
| oaire.citation.startPage | 379 | |
| oaire.citation.title | Geometriae Dedicata | |
| oaire.citation.volume | 201 | |
| oaire.version | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |
| person.familyName | Ferreira | |
| person.givenName | Susana | |
| person.identifier.orcid | 0000-0002-9969-2507 | |
| person.identifier.rid | L-3547-2013 | |
| relation.isAuthorOfPublication | 2d5a1035-3600-4c05-b35c-72b2af186ac8 | |
| relation.isAuthorOfPublication.latestForDiscovery | 2d5a1035-3600-4c05-b35c-72b2af186ac8 |