Contractibility and total semi-stability conditions of Euclidean quivers
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915126381117440 |
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| author | Qiu, Yu Zhang, Xiaoting |
| author_facet | Qiu, Yu Zhang, Xiaoting |
| contents | We study the bounded derived category $\mathcal{D}$ of an Euclidean quiver, or equivalently, that of coherent sheaves on a tame weighted projective line. We give a description of the moduli space $\mathrm{ToSS}$ of the total semi-stability conditions on $\mathcal{D}$, which implies that $\mathrm{ToSS}$ can linearly contract to any chosen non-concentrated stability condition in it. For type $\widetilde{A_{p,q}}$, this gives an alternative proof of the contractibility of the whole space of stability conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_16903 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Contractibility and total semi-stability conditions of Euclidean quivers Qiu, Yu Zhang, Xiaoting Representation Theory Algebraic Geometry We study the bounded derived category $\mathcal{D}$ of an Euclidean quiver, or equivalently, that of coherent sheaves on a tame weighted projective line. We give a description of the moduli space $\mathrm{ToSS}$ of the total semi-stability conditions on $\mathcal{D}$, which implies that $\mathrm{ToSS}$ can linearly contract to any chosen non-concentrated stability condition in it. For type $\widetilde{A_{p,q}}$, this gives an alternative proof of the contractibility of the whole space of stability conditions. |
| title | Contractibility and total semi-stability conditions of Euclidean quivers |
| topic | Representation Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2501.16903 |