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hal.structure.identifierUniversity of Sydney, Sydney NSW 2006 Australia
dc.contributor.authorCARTWRIGHT, Donald
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorKOZIARZ, Vincent
hal.structure.identifierDept of Maths, Purdue University, West Lafayette, IN 47907, USA
dc.contributor.authorYEUNG, Sai-Kee
dc.description.abstractEnIn this article, we study various concrete algebraic and differential geometric properties of the Cartwright-Steger surface. In particular, we determine the genus of a generic fiber of the Albanese fibration, and deduce that the singular fibers are not totally geodesic, answering an open problem about fibrations of a complex ball quotient over a Riemann surface.
dc.language.isoen
dc.title.enOn the Cartwright-Steger surface
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Géométrie algébrique [math.AG]
dc.subject.halMathématiques [math]/Variables complexes [math.CV]
dc.identifier.arxiv1412.4137
hal.identifierhal-01429836
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01429836v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=CARTWRIGHT,%20Donald&KOZIARZ,%20Vincent&YEUNG,%20Sai-Kee&rft.genre=preprint


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