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A holomorphic representation formula for special parabolic hyperspheres is given.
The set of all Abelian simply transitive subgroups of the affine group naturally
corresponds to the set of real solutions of a system of algebraic equations. We classify
all simply transitive subgroups of the symplectic affine group by constructing a model
space for the corresponding variety of solutions. Similarly, we classify the
complete global model spaces for flat special Kähler manifolds with a constant cubic form.
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