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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2602.10582 |
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| _version_ | 1866914321843355648 |
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| author | Tlemsani, Amira |
| author_facet | Tlemsani, Amira |
| contents | Let $\mathcal{L}$ be a line bundle on a smooth and proper scheme $X$ over $S$. We compute, in the case where $S$ is smooth over a field of characteristic $0$, the virtual fundamental class of the closed subset of $S$ consisting of those $s\in S$ such that the restriction of $\mathcal{L}$ to the fibre $X_s$ over $s$ is trivial. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_10582 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The fibrewise trivial locus of a line bundle Tlemsani, Amira Algebraic Geometry Let $\mathcal{L}$ be a line bundle on a smooth and proper scheme $X$ over $S$. We compute, in the case where $S$ is smooth over a field of characteristic $0$, the virtual fundamental class of the closed subset of $S$ consisting of those $s\in S$ such that the restriction of $\mathcal{L}$ to the fibre $X_s$ over $s$ is trivial. |
| title | The fibrewise trivial locus of a line bundle |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2602.10582 |