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We study the asymptotic limits of the heterotic string theories compactifiedon tori. We find a bilinear form uniquely determined by dualities which becomesLorentzian in the case of one spacetime dimension. For the case of the SO(32)theory, the limiting descriptions include SO(32) heterotic strings, type I,type IA and other T-duals, M-theory on K3, type IIA theory on K3 and type IIBtheory on K3 and possibly new limits not understood yet.Comment: JHEP LaTeX, 19 pages, 1 eps-figure, report number adde

On the hyperbolic structure of moduli spaces with 16 SUSYs