Multiplicative excellent family of type $E_{6}$

Proceedings of the Japan Academy, Series A. Mathematical Sciences

article

Tetsuji Shioda¹ 

[1] Department of Mathematics, Rikkyo University

关键词: Weyl group;    cubic surface;    Mordell-Weil lattices.;   

DOI  :  10.3792/pjaa.88.46

学科分类：数学（综合）

来源: Japan Academy

【 摘 要 】

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.

【 授权许可】

Unknown