Homology planes with quotient singularities

DOI10.1215/KJM/1250519728zbMath0790.14034OpenAlexW1499075485MaRDI QIDQ1191312

Masayoshi Miyanishi, Tohru Sugie

Publication date: 27 September 1992

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250519728

zbMATH Keywords

Kodaira dimensionlog-terminal singularities\(\mathbb{Q}\)-homology plane

Mathematics Subject Classification ID

Singularities of surfaces or higher-dimensional varieties (14J17) Families, moduli, classification: algebraic theory (14J10) Special surfaces (14J25)

Related Items (22)

A Note on Rational Cuspidal curves on $\mathbb{Q}$-Homology Projective Planes ⋮ Affine pseudo-planes and cancellation problem ⋮ Homology of Stein manifolds and affine hypersurfaces ⋮ Classification of singular \(\mathbb Q\)-homology planes. I: Structure and singularities ⋮ The additive group actions on \(\mathbb Q\)-homology planes. ⋮ Affine threefolds admitting \(G_a\)-actions ⋮ Eilenberg-MacLane spaces in algebraic surface theory ⋮ Smooth affine \(\mathbb{G}_m\)-surfaces with finite Picard groups and trivial units ⋮ Affine normal surfaces with simply-connected smooth locus ⋮ Exceptional singular \(\mathbb Q\)-homology planes ⋮ Cuspidal curves, minimal models and Zaidenberg's finiteness conjecture ⋮ A homology plane of general type can have at most a cyclic quotient singularity ⋮ Affine lines on logarithmic \(Q\)-homology planes ⋮ Normal del Pezzo surfaces of rank one with log canonical singularities ⋮ \(\mathbb{C}_+\)-actions on contractible threefolds ⋮ Automorphisms of affine surfaces with \(\mathbb A^1\)-fibrations ⋮ On the logarithmic plurigenera of complements of plane curves ⋮ Smoothness of the images of members of a linear system under an endomorphism of the affine plane ⋮ Some recent results in the area of non-complete algebraic varieties ⋮ \(Q\)-homology planes as cyclic covers of \(A^{2}\) ⋮ Super-rigid affine Fano varieties ⋮ Structure of affine surfaces \({\mathbb{P}}^2-B\) with \(\overline\kappa \leq 1\)

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