Work

Minimal Compactifications of the Affine Plane with only Star-shaped Singularities

Year: 2025

Type: article

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.

Source: Taiwanese Journal of Mathematics

DOI: 10.11650/tjm/250202

Author: Masatomo Sawahara

Institution: Hirosaki University

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Japan Society for the Promotion of Science

Award: Log del Pezzo surfaces and their polarized cylinders