Hyperbolic Structures and Root Systems

Details Hyperbolic Structures and Root Systems Hyperbolic Structures and Root Systems

2010-03-29

arxiv.org/abs/1003.5522v1

Mathematics

Algebraic Geometry

Scientific paper

We discuss the construction of a one parameter family of complex hyperbolic
structures on the complement of a toric mirror arrangement associated with a
simply laced root system. Subsequently we find conditions for which parameter
values this leads to ball quotients.

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