On the automorphisms of a rank one Deligne-Hitchin moduli space

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dc.identifier.uri http://dx.doi.org/10.15488/2037
dc.identifier.uri http://www.repo.uni-hannover.de/handle/123456789/2062
dc.contributor.author Biswas, Indranil
dc.contributor.author Heller, Sebastian
dc.date.accessioned 2017-10-12T10:54:34Z
dc.date.available 2017-10-12T10:54:34Z
dc.date.issued 2017
dc.identifier.citation Biswas, I.; Heller, S.: On the automorphisms of a rank one Deligne-Hitchin moduli space. In: Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 13 (2017), 72. DOI: https://doi.org/10.3842/SIGMA.2017.072
dc.description.abstract Let X be a compact connected Riemann surface of genus g ≥ 2, and let MDHbe the rank one Deligne-Hitchin moduli space associated to X. It is known that MDHis the twistor space for the hyper-Kähler structure on the moduli space of rank one holomorphic connections on X. We investigate the group Aut(MDH) of all holomorphic automorphisms of MDH. The connected component of Aut (MDH) containing the identity automorphism is computed. There is a natural element of H2(MDH;ℤ). We also compute the subgroup of Aut(MDH) that fixes this second cohomology class. Since MDHadmits an ample rational curve, the notion of algebraic dimension extends to it by a theorem of Verbitsky. We prove that MDH is Moishezon. © 2017, Institute of Mathematics. All rights reserved. eng
dc.language.iso eng
dc.publisher Kiev : Institute of Mathematics of National Academy of Sciences of Ukraine
dc.relation.ispartofseries Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 13 (2017)
dc.rights CC BY-SA 4.0 Unported
dc.rights.uri https://creativecommons.org/licenses/by-sa/4.0/
dc.subject Deligne-Hitchin moduli space eng
dc.subject Hodge moduli space eng
dc.subject Moishezon twistor space eng
dc.subject λ-connections eng
dc.subject.ddc 510 | Mathematik ger
dc.title On the automorphisms of a rank one Deligne-Hitchin moduli space
dc.type article
dc.type Text
dc.relation.issn 1815-0659
dc.relation.doi https://doi.org/10.3842/SIGMA.2017.072
dc.bibliographicCitation.volume 13
dc.bibliographicCitation.firstPage 72
dc.description.version publishedVersion
tib.accessRights frei zug�nglich


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