Delta-invariant for projective bundles over a curve and K-semistability
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909382466338816 |
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| author | Ammar, Houari Benammar Massonnet, Louis Yin, Chenxi |
| author_facet | Ammar, Houari Benammar Massonnet, Louis Yin, Chenxi |
| contents | Consider $E$ a vector bundle over a smooth curve $C$. We compute the $δ$-invariant of all ample ($\mathbb{Q}$-) line bundles on $\mathbb{P}(E)$ when $E$ is strictly Mumford semistable. We also investigate the case when one assumes that the Harder-Narasimhan filtration of $E$ has only one step. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_05976 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Delta-invariant for projective bundles over a curve and K-semistability Ammar, Houari Benammar Massonnet, Louis Yin, Chenxi Algebraic Geometry Consider $E$ a vector bundle over a smooth curve $C$. We compute the $δ$-invariant of all ample ($\mathbb{Q}$-) line bundles on $\mathbb{P}(E)$ when $E$ is strictly Mumford semistable. We also investigate the case when one assumes that the Harder-Narasimhan filtration of $E$ has only one step. |
| title | Delta-invariant for projective bundles over a curve and K-semistability |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2411.05976 |