Enumeration of the 50 fake projective planes

DOI10.1016/j.crma.2009.11.016zbMath1180.14039OpenAlexW2035029554MaRDI QIDQ847088

Donald I. Cartwright, Tim Steger

Publication date: 12 February 2010

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2009.11.016

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Class numbers, class groups, discriminants (11R29) Surfaces of general type (14J29)

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Cites Work

• Fake projective planes
• Volumes of S-arithmetic quotients of semi-simple groups. With an appendix by Moshe Jarden and Gopal Prasad
• Quotients of fake projective planes
• 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
• Integrality and arithmeticity of co-compact lattice corresponding to certain complex two-ball quotients of Picard number one
• A fake projective plane with an order 7 automorphism
• An Algebraic Surface with K Ample, (K 2 ) = 9, p g = q = 0
• Calabi's conjecture and some new results in algebraic geometry
• On real structures on rigid surfaces
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