Abstract :
For any irreducible and reduced compact complex space or any integral projective variety, let Xσ be its complex conjugate. Let S(X) be the set of all W such that W×Wσ X×Xσ. We say that S(X) is trivial if for every W S(X) there are Y,Z such that X Y×Z and W Y×Zσ. A torsion bundle over a torus is the total space of a fibre bundle with finite structure group over a positive dimensional torus. Here we prove that if X has no torsion bundle over a torus as a factor, then S(X) is trivial.
