Let Hg be the Siegel upper half-space of order g, and let Γ = Sp(g,Z) be the Siegel modular group. The quotient Hg/Γ is a normal analytic variety, which we shall call Siegel’s space. It admits certain natural compactifications; in particular, the minimal compactification of Satake [12] and the various toroidal compactifications of Mumford [10] (see also [1], [2], [13], [14]). The aim of this re...

A new, more widely applicable, constructive definition of locally compact metric space is given, and a metric one-point compactification is constructed. Classically, this provides a simpler, more direct, construction of a metric on the one-point compactification of a separable locally compact metric

A 6D SO(14) flavor unification model with two spinor representations is obtained by a Z2 orbifold compactification of the heterotic string, and the N = 4 supersymmetry is reduced to N = 2. This 6D model reduces to the previous 5D SO(14) model of family unification after the S1 compactification. [

A gauge theoretic description of the Morgan-Shalen compactification of the SL(2, C) character variety of the fundamental group of a hyperbolic surface is given in terms of a natural compactification of the moduli space of Higgs bundles via the Hitchin map.