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arXiv · 2412.02895

The Prym-Hitchin Connection and Anti-Invariant Level-Rank Duality

Thomas Baier·Michele Bolognesi·Johan Martens·Christian Pauly
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Abstract

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.

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Thomas Baier, Michele Bolognesi, Johan Martens, Christian Pauly. 2024-12-03. The Prym-Hitchin Connection and Anti-Invariant Level-Rank Duality. https://arxiv.org/abs/2412.02895

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