Quintic genus 2 curves, stable pairs and wall-crossing
Algebraic Geometry
2025-09-25 v1
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.
Keywords
Cite
@article{arxiv.2509.20076,
title = {Quintic genus 2 curves, stable pairs and wall-crossing},
author = {Shihao Ma and Song Yang},
journal= {arXiv preprint arXiv:2509.20076},
year = {2025}
}
Comments
30 pages. Comments are very welcome