Arithmetic structure of CMSZ fake projective planes

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dc.creatorKato, Fumiharu
dc.creatorOchiai, Hiroyuki
dc.date2000-06-29
dc.date.accessioned2026-07-25T22:49:08Z
dc.descriptionWe 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.
dc.description14 pages, LaTeX2e + Euler font
dc.identifierhttps://arxiv.org/abs/math/0006223
dc.identifierhttp://arxiv.org/abs/math/0006223
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/92804
dc.subjectAlgebraic Geometry
dc.subject14G35; 14J29, 11G15, 11Q25
dc.titleArithmetic structure of CMSZ fake projective planes
dc.typetext

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