hal.structure.identifier	University of Sydney, Sydney NSW 2006 Australia
dc.contributor.author	CARTWRIGHT, Donald
hal.structure.identifier	Institut de Mathématiques de Bordeaux [IMB]
dc.contributor.author	KOZIARZ, Vincent
hal.structure.identifier	Dept of Maths, Purdue University, West Lafayette, IN 47907, USA
dc.contributor.author	YEUNG, Sai-Kee
dc.description.abstractEn	In 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.iso	en
dc.title.en	On the Cartwright-Steger surface
dc.type	Document de travail - Pré-publication
dc.subject.hal	Mathématiques [math]/Géométrie algébrique [math.AG]
dc.subject.hal	Mathématiques [math]/Variables complexes [math.CV]
dc.identifier.arxiv	1412.4137
hal.identifier	hal-01429836
hal.version	1
hal.origin.link	https://hal.archives-ouvertes.fr//hal-01429836v1
bordeaux.COinS	ctx_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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On the Cartwright-Steger surface