Abstract
We show that the equation (1) in the text defines a multiplicative excellent family of elliptic surfaces (or of cubic surfaces) with Galois group isomorphic to the Weyl group of type $E_{6}$. The main properties of the family are formulated as Theorems 1 and 2 in § 3.
Citation
Tetsuji Shioda. "Multiplicative excellent family of type $E_{6}$." Proc. Japan Acad. Ser. A Math. Sci. 88 (3) 46 - 51, March 2012. https://doi.org/10.3792/pjaa.88.46
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