Toward a geometric construction of fake projective planes

DOI10.4171/RLM/622zbMath1248.14044arXiv1010.0286OpenAlexW2963995908MaRDI QIDQ429553

Jong Hae Keum

Publication date: 20 June 2012

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.0286

zbMATH Keywords

surfaces of general typefake projective planeproperly elliptic surfaces

Mathematics Subject Classification ID

Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Surfaces of general type (14J29)

Related Items (5)

On the Cartwright-Steger surface ⋮ Mixed quasi-étale surfaces, new surfaces of general type with \(p_g=0\) and their fundamental group ⋮ Explicit equations of a fake projective plane ⋮ A vanishing theorem on fake projective planes with enough automorphisms ⋮ A journey from the octonionic ℙ² to a fake ℙ²

Cites Work

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• Enumeration of the 50 fake projective planes
• Crepant blowing-up of 3-dimensional canonical singularities and its application to degenerations of surfaces
• A fake projective plane with an order 7 automorphism
• The index of elliptic operators. III
• The maximum number of singular points on rational homology projective planes
• On the classification of irregular surfaces of general type with nonbirational bicanonical map

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