Ranks in Families of Jacobian Varieties of Twisted Fermat Curves

Canadian mathematical bulletin

Andrzej Dąbrowski¹  Tomasz Jędrzejak¹ 

[1] University of Szczecin, Institute of Mathematics, ul. Wielkopolska 15, 70-451 Szczecin, Poland

关键词: Fermat curve;    Jacobian variety;    elliptic curve;    canonical height;   

DOI  :  10.4153/CMB-2010-010-2

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

In this paper, we prove that the unboundedness of ranks in families of Jacobian varieties of twisted Fermat curves is equivalent to the divergence of certain infinite series.

【 授权许可】

Unknown