Delzant models of moduli spaces

For every genus g, we construct a smooth, complete, rational polarized algebraic variety DMg together with a normal crossing divisor D = ⋃ Di, such that for every moduli space MΣ(2, 0) of semistable topologically trivial vector bundles of rank 2 on an algebraic curve Σ of genus g there exists a holomorphic isomorphism f : MΣ(2, 0) \ K2 → DMg \ D, where K2 is the Kummer variety of the Jacobian of Σ, sending the polarization of DMg to the theta divisor of the moduli space. This isomorphism induces isomorphisms of the spaces H(MΣ(2, 0),Θ ) = H(DMg,H ).