A 1-dimensional component of K-moduli of del Pezzo surfaces
Andrea Petracci
TL;DR
This paper constructs a specific 1-dimensional component within the K-moduli space of K-polystable del Pezzo surfaces, providing explicit geometric examples and insights.
Contribution
It explicitly constructs a smooth rational curve component of the K-moduli space for del Pezzo surfaces, advancing understanding of its structure.
Findings
Identified a 1-dimensional smooth rational curve component
Explicit construction of a K-polystable del Pezzo surface family
Enhanced understanding of the K-moduli space structure
Abstract
We explicitly construct a component of the K-moduli space of K-polystable del Pezzo surfaces which is a smooth rational curve.
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Taxonomy
TopicsGeometry and complex manifolds · Algebraic Geometry and Number Theory · Advanced Algebra and Geometry