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arXiv · 1412.4137

On the Cartwright-Steger surface

Donald I. Cartwright·Vincent Koziarz·Sai-Kee Yeung
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Abstract

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.

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Donald I. Cartwright, Vincent Koziarz, Sai-Kee Yeung. 2014-12-12. On the Cartwright-Steger surface. https://arxiv.org/abs/1412.4137

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