The Prym-Hitchin Connection and Anti-Invariant Level-Rank Duality
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866908715941101568 |
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| author | Baier, Thomas Bolognesi, Michele Martens, Johan Pauly, Christian |
| author_facet | Baier, Thomas Bolognesi, Michele Martens, Johan Pauly, Christian |
| contents | We construct a "Hitchin-type" connection on bundles of non-abelian theta functions on higher-rank Prym varieties, for unramified double covers of curves. We formulate a version of level-rank duality in this Prym setting (building on work of Zelaci), show it holds for level one, and establish that the duality respects the flat connections at all levels. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_02895 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Prym-Hitchin Connection and Anti-Invariant Level-Rank Duality Baier, Thomas Bolognesi, Michele Martens, Johan Pauly, Christian Algebraic Geometry We construct a "Hitchin-type" connection on bundles of non-abelian theta functions on higher-rank Prym varieties, for unramified double covers of curves. We formulate a version of level-rank duality in this Prym setting (building on work of Zelaci), show it holds for level one, and establish that the duality respects the flat connections at all levels. |
| title | The Prym-Hitchin Connection and Anti-Invariant Level-Rank Duality |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2412.02895 |