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1 tomic extension of Q. This special case of the conjecture is due to Shafarevich. We pay attention to another case, namely to an algebraic extension M of C(t) which is Hilbertian. In this case G(M ) is automatically projective. We prove that if M is Galois over C(t) and Hilbertian, then M is ω-free.doi:10.1090/conm/186/02192 fatcat:z64qfctrbbe2zhuhy2srn6ww2y