Wall crossing for K-moduli space of degree 5 pairs
Long Pan

TL;DR
This paper investigates the wall-crossing phenomena in the K-moduli space of degree 5 pairs, specifically focusing on pairs consisting of a plane quintic curve and a line, to understand their geometric stability changes.
Contribution
It provides a detailed description of the wall-crossing behavior in the two-parameter K-moduli space for pairs involving a plane quintic and a line, advancing the understanding of moduli stability.
Findings
Characterization of wall-crossings in the moduli space
Analysis of stability conditions for pairs (P2, aQ + bL)
Insights into geometric transitions of degree 5 pairs
Abstract
In this paper, we describe the wall-crossing of the two parameter K-moduli space of pairs (P 2,aQ + bL), where Q is a plane quintic curve and L is a line.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Harmonic Analysis Research · Advanced Algebra and Geometry
