Minimal Compactifications of the Affine Plane with only Star-shaped Singularities
Masatomo Sawahara · Taiwanese Journal of Mathematics · 2025
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.