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# On Log $\mathbb Q$-Homology Planes and Weighted Projective Planes

Published:2004-12-01
Printed: Dec 2004
• Daniel Daigle
• Peter Russell
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## Abstract

We classify normal affine surfaces with trivial Makar-Limanov invariant and finite Picard group of the smooth locus, realizing them as open subsets of weighted projective planes. We also show that such a surface admits, up to conjugacy, one or two $G_a$-actions.
 MSC Classifications: 14R05 - Classification of affine varieties 14J26 - Rational and ruled surfaces 14R20 - Group actions on affine varieties [See also 13A50, 14L30]

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