22 citations · 27 across the 4 of their papers we have counts for
5 papers
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…
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…
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…
Quantization of Abelian Varieties: distributional sections and the transition from Kähler to real polarizations
Thomas Baier, José M. Mourão, João P. Nunes
We study the dependence of geometric quantization of the standard symplectic torus on the choice of invariant polarization. Real and mixed polarizations are interpreted as degenera…
Toric Kähler metrics seen from infinity, quantization and compact tropical amoebas
Thomas Baier, Carlos Florentino, José M. Mourão +1
We consider the metric space of all toric Kähler metrics on a compact toric manifold; when "looking at it from infinity" (following Gromov), we obtain the tangent cone at infinity,…