3 papers
math.AG2025
The Prym-Hitchin Connection and Anti-Invariant Level-Rank Duality
Thomas Baier, Michele Bolognesi, Johan Martens +1
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…
math.AG2025
Abelianization of the Hitchin connection at level four
Thomas Baier, Michele Bolognesi, Johan Martens +1
We prove that the Hitchin connection for at level four can be understood in terms of the Mumford-Welters connections on bundles of abelian theta functions for…
math.AG2025
Hecke transformation for orthogonal bundles over curves
Christian Pauly, Hacen Zelaci
Given an orthogonal bundle over a smooth projective curve we define a Hecke transformation in the moduli space of orthogonal bundles by performing an elementary transformat…