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On the Cartwright-Steger surface

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.

preprint2015arXivOpen access
Donald I. CartwrightVincent KoziarzSai-Kee Yeung
math.CVmath.AG
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Donald I. CartwrightVincent KoziarzSai-Kee Yeung

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