Affine lines on logarithmic \(Q\)-homology planes

DOI10.1007/BF01934336zbMath0757.14022OpenAlexW2022265826MaRDI QIDQ1195997

Masayoshi Miyanishi, Rajendra Vasant Gurjar

Publication date: 12 January 1993

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165012

zbMATH Keywords

affine lines on logarithmic homology planeslinearizable \(\mathbb{C}^*\)- action

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Group actions on varieties or schemes (quotients) (14L30) Special algebraic curves and curves of low genus (14H45) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Related Items (14)

Integral points and orbits of endomorphisms on the projective plane ⋮ Closed embeddings of \(\mathbb C^*\) in \(\mathbb C^2\). I. ⋮ Classification of singular \(\mathbb Q\)-homology planes. I: Structure and singularities ⋮ Smooth Q$\mathbb {Q}$‐homology planes satisfying the negativity conjecture ⋮ Singular \(\mathbb{Q}\)-homology planes of negative Kodaira dimension have smooth locus of non-general type ⋮ Exceptional singular \(\mathbb Q\)-homology planes ⋮ Open algebraic surfaces with \(\bar{\kappa} = \bar{p}_{g} = 0\) and \(\bar{P}_{2} > 0\) ⋮ Étale endomorphisms of smooth affine surfaces. ⋮ OPEN RATIONAL SURFACES WITH LOGARITHMIC KODAIRA DIMENSION ZERO ⋮ A homology plane of general type can have at most a cyclic quotient singularity ⋮ \(\mathbb{C}_+\)-actions on contractible threefolds ⋮ On the logarithmic plurigenera of complements of plane curves ⋮ Uniqueness of embeddings of the affine line into algebraic groups ⋮ Structure of affine surfaces \({\mathbb{P}}^2-B\) with \(\overline\kappa \leq 1\)

Cites Work

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• The cone of curves of algebraic varieties
• Structure of open algebraic surfaces. I
• Non-complete algebraic surfaces
• Homology planes with quotient singularities
• Absence of the affine lines on the homology planes of general type
• On the rationality of complex homology 2-cells. II

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