K-stability of log Fano hyperplane arrangements
Kento Fujita
TL;DR
This paper classifies the stability types of log Fano hyperplane arrangements, providing a comprehensive understanding of their geometric stability properties.
Contribution
It offers a complete characterization of the K-stability spectrum for log Fano hyperplane arrangements, filling a gap in the existing literature.
Findings
Identifies conditions for uniform K-stability.
Determines criteria for K-stability and K-polystability.
Classifies arrangements based on stability types.
Abstract
In this article, we completely determine which log Fano hyperplane arrangements are uniformly K-stable, K-stable, K-polystable, K-semistable or not.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Algebraic Geometry and Number Theory