Abstract
We determine the combinations of singular fibers a locally holomorphic elliptic fibration on the rational elliptic surface can admit. This problem has been answered for globally holomorphic elliptic fibrations by Persson and Miranda [12], [9]; we compare our methods and results to theirs. In particular, we find combinations of singular fibers which can be realized by locally holomorphic fibrations but not by globally holomorphic ones.
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Communicated by András Némethi
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Stipsicz, A.I., Szabó, Z. & Szilárd, Á. Singular Fibers in Elliptic Fibrations on the Rational Elliptic Surface. Period Math Hung 54, 137–162 (2007). https://doi.org/10.1007/s-10998-007-2137-2
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DOI: https://doi.org/10.1007/s-10998-007-2137-2