Rigid affine cones over singular del Pezzo surfaces
In-Kyun Kim, Jaehyun Kim, and Joonyeong Won
TL;DR
This paper investigates the existence of anticanonical polar cylinders in certain algebraic surfaces, specifically focusing on quasi-smooth log del Pezzo surfaces of index one, providing a complete classification.
Contribution
It offers a complete classification of when anticanonical polar cylinders exist in quasi-smooth log del Pezzo surfaces of index one, filling a gap in the understanding of these geometric structures.
Findings
Complete determination of existence conditions for anticanonical polar cylinders
Classification results for quasi-smooth log del Pezzo surfaces of index one
Advances understanding of affine cones over singular del Pezzo surfaces
Abstract
We completely determine the existence of anticanonical polar cylinders in quasi-smooth log del Pezzo surfaces of index one.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Point processes and geometric inequalities · Advanced Differential Equations and Dynamical Systems