Examples of genus two fibrations with no sections on rational surfaces

Proceedings of the Japan Academy, Series A. Mathematical Sciences

article

Shinya Kitagawa¹ 

[1] General Education (Natural Sciences), National Institute of Technology, Gifu College

关键词: Representation theory;    reductive group;    branching law;    broken symmetry;    conformal geometry;    symmetry breaking operator.;   

DOI  :  10.3792/pjaa.93.93

学科分类：数学（综合）

来源: Japan Academy

【 摘 要 】

We construct explicit examples of genus two fibrations with no sections on rational surfaces by the double covering method. For the proof of non-existence of sections, we use the theory of the virtual Mordell-Weil groups.

【 授权许可】

Unknown