Spectral coverings without embeddings
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866908431534784512 |
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| author | Boulter, Eric Rayan, Steven |
| author_facet | Boulter, Eric Rayan, Steven |
| contents | In this article, we investigate a weakened version of the spectral correspondence for twisted Higgs bundles. Namely, we construct twisted Higgs bundles from a finite covering map and a vector bundle on that covering but without requiring that they match the eigen-data for some fixed twisted Higgs bundle. We investigate stability for twisted Higgs bundles constructed in this way, and compare our covering data to that of the traditional spectral cover. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_02127 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spectral coverings without embeddings Boulter, Eric Rayan, Steven Algebraic Geometry In this article, we investigate a weakened version of the spectral correspondence for twisted Higgs bundles. Namely, we construct twisted Higgs bundles from a finite covering map and a vector bundle on that covering but without requiring that they match the eigen-data for some fixed twisted Higgs bundle. We investigate stability for twisted Higgs bundles constructed in this way, and compare our covering data to that of the traditional spectral cover. |
| title | Spectral coverings without embeddings |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2507.02127 |