Arithmetic structure of CMSZ fake projective planes

Details Arithmetic structure of CMSZ fake projective planes Arithmetic structure of CMSZ fake projective planes

2000-06-29

arxiv.org/abs/math/0006223v1

Mathematics

Algebraic Geometry

14 pages, LaTeX2e + Euler font

Scientific paper

We prove that the fake projective planes constructed from the diadic discrete
group discovered by Cartwright, Mantero, Steger, and Zappa are connected
Shimura varieties associated to a certain unitary group. The necessary Shimura
data, as well as the unitary group, are explicitly described. We also give a
field of definition of these fake projective planes.

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