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Rationality of Moduli of Elliptic Fibrations with Fixed Mon..:

Bogomolov, F. ; Petrov, T. ; Tschinkel, Y.
Geometrical and Functional Analysis GAFA.  12 (2002)  6 - p. 1105-1160 , 2002
Link: https://doi.org/10.1007/s00039-002-1105-9