de Cataldo, Mark Andrea Elliptic fibrations and holomorphic bundles. (Italian. English summary) Zbl 0725.14032 Riv. Mat. Univ. Parma, IV. Ser. 15, 265-269 (1989). It is proved that if \(S\to D\) is an algebraic relatively minimal (compact) elliptic surface having a multiple fibre f and if \(S^*\to D^*\) is obtained from \(S\to D\) via a logarithmic transformation along f then \(S^*\) is non-algebraic provided S has non-negative Kodaira dimension. Reviewer: A.Buium (Bucureşti) MSC: 14J27 Elliptic surfaces, elliptic or Calabi-Yau fibrations 14M20 Rational and unirational varieties 32J10 Algebraic dependence theorems 14E99 Birational geometry 32L05 Holomorphic bundles and generalizations Keywords:algebraicity of surface; elliptic surface; logarithmic transformation; Kodaira dimension PDFBibTeX XMLCite \textit{M. A. de Cataldo}, Riv. Mat. Univ. Parma, IV. Ser. 15, 265--269 (1989; Zbl 0725.14032)