On the Cartwright-Steger surface

DOI10.1090/jag/696zbMath1375.14120arXiv1412.4137OpenAlexW4299692338MaRDI QIDQ5283244

Donald I. Cartwright, Vincent Koziarz, Sai Kee Yeung

Publication date: 21 July 2017

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.4137

zbMATH Keywords

group actionssurfaces of general type

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Special surfaces (14J25)

Related Items (13)

Foliations associated to harmonic maps on some complex two ball quotients ⋮ Kodaira fibrations and beyond: methods for moduli theory ⋮ A note on higher extremal metrics ⋮ Bielliptic ball quotient compactifications and lattices in \(\operatorname{PU}(2,1)\) with finitely generated commutator subgroup ⋮ Complex ball quotients and new symplectic \(4\)-manifolds with nonnegative signatures ⋮ Irrational pencils and Betti numbers ⋮ Addendum to: ``Exotic structures arising from fake projective planes ⋮ Stability of the Albanese fibration on the Cartwright-Steger surface ⋮ Very ampleness of the bicanonical line bundle on compact complex 2-ball quotients ⋮ The Slope of Surfaces with Albanese Dimension One ⋮ VIRTUAL ALGEBRAIC FIBRATIONS OF KÄHLER GROUPS ⋮ Surfaces with canonical map of maximum degree ⋮ On the minimal number of singular fibers in Lefschetz fibrations over the torus

Cites Work

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• Toward a geometric construction of fake projective planes
• Forgetful maps between Deligne-Mostow ball quotients
• Enumeration of the 50 fake projective planes
• Fake projective planes
• Holomorphic immersions between compact hyperbolic space forms
• Surfaces fibrées en courbes de genre deux
• On a remarkable class of polyhedra in complex hyperbolic space
• The Milnor number and deformations of complex curve singularities
• Isomorphisms among monodromy groups and applications to lattices in \(PU(1,2)\)
• Classification theory of algebraic varieties and compact complex spaces. Notes written in collaboration with P. Cherenack
• Maps between complex hyperbolic surfaces
• A negatively curved Kähler threefold not covered by the ball
• Monodromy of hypergeometric functions and non-lattice integral monodromy
• Generalized Picard lattices arising from half-integral conditions
• Classification of surfaces of general type with Euler number 3
• Commensurabilities among Lattices in PU (1,n). (AM-132)
• Finite Unitary Reflection Groups

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