The Prym-Hitchin Connection and Anti-Invariant Level-Rank Duality
| Autor: | Baier, Thomas, Bolognesi, Michele, Martens, Johan, Pauly, Christian |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 44 pages |
| Databáze: | arXiv |
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