3 papers
math.AG2024
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.AG2020
The Hitchin connection in arbitrary characteristic
Thomas Baier, Michele Bolognesi, Johan Martens +1
We give an algebro-geometric construction of the Hitchin connection, valid also in positive characteristic (with a few exceptions). A key ingredient is a substitute for the Narasim…
math.DG2017
Picard group and quantization of toric orbifolds
Thomas Baier, José M. Mourão, João P. Nunes
In the classical theory of toric manifolds polytopes appear in two guises -- as Newton polytopes of line bundles on the complex, and as moment polytopes on the symplectic side, the…