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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.20076 |
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| _version_ | 1866915511430807552 |
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| author | Ma, Shihao Yang, Song |
| author_facet | Ma, Shihao Yang, Song |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_20076 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quintic genus 2 curves, stable pairs and wall-crossing Ma, Shihao Yang, Song Algebraic Geometry 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. |
| title | Quintic genus 2 curves, stable pairs and wall-crossing |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2509.20076 |