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References
Beauville, A., Les familles stables de courbes elliptiques surP 1 admettant quatre fibres singulieres,C. R. Acad. Sci. Paris Sér. I Math. 294 (1982), 657–660.
Cox, D. andParry, W., Torsion in elliptic curves overk(t), Compositio Math. 41 (1980), 337–354.
Lang, W. E., Extremal rational elliptic surfaces in characeristicp. I: Beauville surfaces,Math. Z. 207 (1991), 429–437.
Mirandra, R. andPersson, U., On extremal rational elliptic surfaces,Math. Z. 193 (1986), 537–558.
Ogg, A., Elliptic curves and wild ramification,Amer. J. Math. 89 (1967), 1–21.
Silverman, J.,The Arithmetic of Elliptic Curves,Graduate Texts in Math. 106, Berlin-Heidelberg-New York, Springer-Verlag, 1986.
Tate, J., Algorithm for determining the type of a singular fiber in an elliptic pencil, inModular functions of one variable IV (Birch, B. J., Kuyk, W., eds.),Lecture Notes in Math. 476, pp. 33–52, Berlin-Heidelberg-New York, Springer-Verlag, 1975.
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Lang, W.E. Extremal rational elliptic surfaces in characteristicp. II: Surfaces with three or fewer singular fibres. Ark. Mat. 32, 423–448 (1994). https://doi.org/10.1007/BF02559579
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DOI: https://doi.org/10.1007/BF02559579