1. CJM 2008 (vol 60 pp. 64)
|Classification of Linear Weighted Graphs Up to Blowing-Up and Blowing-Down |
We classify linear weighted graphs up to the blowing-up and blowing-down operations which are relevant for the study of algebraic surfaces.
Keywords:weighted graph, dual graph, blowing-up, algebraic surface
Categories:14J26, 14E07, 14R05, 05C99
2. CJM 2004 (vol 56 pp. 1145)
|On Log $\mathbb Q$-Homology Planes and Weighted Projective Planes |
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.
Categories:14R05, 14J26, 14R20