Classification of singular \(\mathbb Q\)-homology planes. II: \(\mathbb C^1\)- and \(\mathbb C^{\ast}\)-rulings

DOI10.2140/pjm.2012.258.421zbMath1256.14067arXiv1201.2463OpenAlexW1542982694MaRDI QIDQ453232

Karol Palka

Publication date: 19 September 2012

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

Full work available at URL: https://arxiv.org/abs/1201.2463

zbMATH Keywords

\(\mathbb{C}^*\)-fibrationrational homology planelog Kodaira dimension\(\mathbb{A}^1\)-fibration

Mathematics Subject Classification ID

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

Related Items (6)

A Note on Rational Cuspidal curves on $\mathbb{Q}$-Homology Projective Planes ⋮ Classification of singular \(\mathbb Q\)-homology planes. I: Structure and singularities ⋮ Smooth Q$\mathbb {Q}$‐homology planes satisfying the negativity conjecture ⋮ Smooth affine \(\mathbb{G}_m\)-surfaces with finite Picard groups and trivial units ⋮ Singular \(\mathbb{Q}\)-homology planes of negative Kodaira dimension have smooth locus of non-general type ⋮ Affine lines in the complement of a smooth plane conic

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