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

[摘要] We classify normal affine surfaces with trivial Makar-Limanovinvariant and finite Picard group of the smooth locus, realizing themas open subsets of weighted projective planes.We also show that such a surface admits, up to conjugacy, one or two $G_a$-actions.

[学科分类] 数学（综合）