The Prym-Hitchin Connection and Anti-Invariant Level-Rank Duality
Algebraic Geometry
2025-12-18 v2
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.
Keywords
Cite
@article{arxiv.2412.02895,
title = {The Prym-Hitchin Connection and Anti-Invariant Level-Rank Duality},
author = {Thomas Baier and Michele Bolognesi and Johan Martens and Christian Pauly},
journal= {arXiv preprint arXiv:2412.02895},
year = {2025}
}
Comments
44 pages, various minor edits