Singular Fibers in Elliptic Fibrations on the Rational Elliptic Surface |
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Authors: | András I Stipsicz Zoltán Szabó Ágnes Szilárd |
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Institution: | 1.Rényi Institute of Mathematics,Hungarian Academy of Sciences,Budapest,Hungary;2.Department of Mathematics,Princeton University,Princeton,USA;3.Rényi Institute of Mathematics,Hungarian Academy of Sciences,Budapest,Hungary |
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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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