On the Shimura variety having Mumford's fake projective plane as a connected component

DOI10.1007/s00209-007-0241-1zbMath1140.14020OpenAlexW2074030709MaRDI QIDQ926248

Fumiharu Kato

Publication date: 27 May 2008

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-007-0241-1

zbMATH Keywords

unitary groupShimura varietyMumford's fake projective planep-adic uniformization

Mathematics Subject Classification ID

Complex multiplication and moduli of abelian varieties (11G15) Surfaces of general type (14J29) Modular and Shimura varieties (14G35)

Related Items

The densest lattices in \(\mathrm{PGL}_3(\mathbb Q_2)\), New non-arithmetic complex hyperbolic lattices

Cites Work

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• An elliptic surface covered by Mumford's fake projective plane
• Stable trace formula: Cuspidal tempered terms
• The strong rigidity theorem for non-Archimedean uniformization
• On the rigidity of certain fundamental groups, arithmeticity of complex hyperbolic lattices, and the ``fake projective planes
• \(p\)-adic uniformization of unitary Shimura varieties
• An Algebraic Surface with K Ample, (K 2 ) = 9, p g = q = 0
• Zero-cycles on Mumford's surface
• Period Spaces for "p"-divisible Groups (AM-141)