Singular \(\mathbb{Q}\)-homology planes of negative Kodaira dimension have smooth locus of non-general type

zbMath1287.14031arXiv1001.2256MaRDI QIDQ1948066

Mariusz Koras, Karol Palka

Publication date: 30 April 2013

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.2256

zbMATH Keywords

rational homology planelog Kodaira dimension

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Singularities of surfaces or higher-dimensional varieties (14J17) Classification of affine varieties (14R05)

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A Note on Rational Cuspidal curves on $\mathbb{Q}$-Homology Projective Planes ⋮ A homology plane of general type can have at most a cyclic quotient singularity

Cites Work

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• Classification of singular \(\mathbb Q\)-homology planes. I: Structure and singularities
• Classification of singular \(\mathbb Q\)-homology planes. II: \(\mathbb C^1\)- and \(\mathbb C^{\ast}\)-rulings
• Exceptional singular \(\mathbb Q\)-homology planes
• Über vierdimensionale Riemannsche Flächen mehrdeutiger analytischer Funktionen von zwei komplexen Veränderlichen. (On four-dimensional Riemann surfaces of many-valued analytic functions of two complex variables)
• Enumeration of the 50 fake projective planes
• The maximal number of quotient singularities on surfaces with given numerical invariants
• The topology of normal singularities of an algebraic surface and a criterion for simplicity
• On Zariski problem
• Hamburger-Noether expansions and approximate roots of polynomials
• \(\mathbb Q\)-homology planes with \(\mathbb C^{**}\)-fibrations
• Affine lines on logarithmic \(Q\)-homology planes
• On rationality of logarithmic \(\mathbb{Q}\)-homology of planes. I
• Rationale Singularitäten komplexer Flächen
• Contractible affine surfaces with quotient singularities
• The maximum number of singular points on rational homology projective planes
• Recent progress in the geometry of Q-acyclic surfaces
• LOGARITHMIC ORBIFOLD EULER NUMBERS OF SURFACES WITH APPLICATIONS
• Open Algebraic Surfaces