Abstract
We consider the application of the abc-theorem and Davenport’s inequality to elliptic surfaces over the projective line $\mathbf{P}^{1}$, with special attention to the case of equality in the abc-theorem. Some existence theorem and the finiteness results will be given for certain type of elliptic surfaces.
Citation
Tetsuji Shioda. "The abc-theorem, Davenport’s inequality and elliptic surfaces." Proc. Japan Acad. Ser. A Math. Sci. 84 (4) 51 - 56, April 2008. https://doi.org/10.3792/pjaa.84.51
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