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On the Betti numbers of the real part of a three-dimensional torus embedding

Jan Ratajski (1993)

Colloquium Mathematicae

Let X be the three-dimensional, complete, nonsingular, complex torus embedding corresponding to a fan S 3 and let V be the real part of X (for definitions see [1] or [3]). The aim of this note is to give a simple combinatorial formula for calculating the Betti numbers of V.

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