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arXiv · 2509.20076

Quintic genus 2 curves, stable pairs and wall-crossing

Shihao Ma·Song Yang
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Abstract

This paper studies wall crossings in Bridgeland stability for the moduli space of Pandharipande--Thomas stable pairs associated with quintic genus 2 curves in the complex projective three-space. We provide a complete list of irreducible components of the moduli space, together with a birational description of each component. As an application, we recover the geometry of the Hilbert scheme for quintic genus 2 curves, for which no previous results are known.

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Shihao Ma, Song Yang. 2025-09-24. Quintic genus 2 curves, stable pairs and wall-crossing. https://arxiv.org/abs/2509.20076

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