Bridgeland Stability of Sheaves on del Pezzo Surface of Picard Rank Three
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909618522816512 |
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| author | Mizuno, Yuki Yoshida, Tomoki |
| author_facet | Mizuno, Yuki Yoshida, Tomoki |
| contents | This article discusses the Bridgeland stability of some sheaves on the blow-up of $\mathbb{P}^{2}$ at two general points. We have determined the destabilizing objects of the line bundles and have shown that $\mathscr{O}(E)|_{E}$ is Bridgeland stable for any $(-1)$-curve $E$ and any divisorial Bridgeland stability condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_18894 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bridgeland Stability of Sheaves on del Pezzo Surface of Picard Rank Three Mizuno, Yuki Yoshida, Tomoki Algebraic Geometry 14F08 (primary), 18G80, 14J26 (secondary) This article discusses the Bridgeland stability of some sheaves on the blow-up of $\mathbb{P}^{2}$ at two general points. We have determined the destabilizing objects of the line bundles and have shown that $\mathscr{O}(E)|_{E}$ is Bridgeland stable for any $(-1)$-curve $E$ and any divisorial Bridgeland stability condition. |
| title | Bridgeland Stability of Sheaves on del Pezzo Surface of Picard Rank Three |
| topic | Algebraic Geometry 14F08 (primary), 18G80, 14J26 (secondary) |
| url | https://arxiv.org/abs/2502.18894 |