Monodromy and vanishing cycles for complete intersection curves
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866917186843443200 |
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| author | Banerjee, Ishan Salter, Nick |
| author_facet | Banerjee, Ishan Salter, Nick |
| contents | We compute the topological monodromy of every family of complete intersection curves. Like in the case of plane curves previously treated by the second-named author, we find the answer is given by the $r$-spin mapping class group associated to the maximal root of the adjoint line bundle. Our main innovation is a suite of tools for studying the monodromy of sections of a tensor product of very ample line bundles in terms of the monodromy of sections of the factors, allowing for an induction on (multi-)degree. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_06479 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Monodromy and vanishing cycles for complete intersection curves Banerjee, Ishan Salter, Nick Algebraic Geometry Geometric Topology We compute the topological monodromy of every family of complete intersection curves. Like in the case of plane curves previously treated by the second-named author, we find the answer is given by the $r$-spin mapping class group associated to the maximal root of the adjoint line bundle. Our main innovation is a suite of tools for studying the monodromy of sections of a tensor product of very ample line bundles in terms of the monodromy of sections of the factors, allowing for an induction on (multi-)degree. |
| title | Monodromy and vanishing cycles for complete intersection curves |
| topic | Algebraic Geometry Geometric Topology |
| url | https://arxiv.org/abs/2408.06479 |