Minimal compactifications of the affine plane with only star-shaped singularities
arXiv:2408.07987 · doi:10.11650/tjm/250202
Abstract
We consider minimal compactifications of the complex affine plane. Minimal compactifications of the affine plane with at most log canonical singularities are classified. Moreover, every minimal compactification of the affine plane with at most log canonical singularities has only star-shaped singular points. In this article, we classify minimal compactifications of the affine plane with only star-shaped singular points.
16 pages, 4 figures; v3: Corrected many typos. To appear in Taiwanese Journal of Mathematics