Acyclic algebraic surfaces bounded by Seifert spheres (Q1371126)

The author considers smooth connected algebraic surfaces such that: their logarithmic Kodaira dimension is equal to 2, \(H^i(X, \mathbb{Q}) = (0)\) for \(i > 0\), and topologically \(X\) has as a boundary a Seifert fibration having \(\mathbb{Q}\)-homologies of a 3-sphere. He proves that \(H^i(X,\mathbb{Z})\) is not trivial for \(i > 0\) and the number \(r\) of the multiple fibers of the Seifert fibration satisfies \(r < 17\).