Geodesic
Ranks in Families of Jacobian Varieties of Twisted Fermat Curves
Canadian mathematical bulletin, Tome 53 (2010) no. 1, pp. 58-63

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DOI

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.
DOI : 10.4153/CMB-2010-010-2
Mots-clés : 11G10, 11G05, 11G50, 14G05, 11G30, 14H45, 14K15, Fermat curve, Jacobian variety, elliptic curve, canonical height 
Dąbrowski, Andrzej; Jędrzejak, Tomasz. Ranks in Families of Jacobian Varieties of Twisted Fermat Curves. Canadian mathematical bulletin, Tome 53 (2010) no. 1, pp. 58-63. doi: 10.4153/CMB-2010-010-2
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     author = {D\k{a}browski, Andrzej and J\k{e}drzejak, Tomasz},
     title = {Ranks in {Families} of {Jacobian} {Varieties} of {Twisted} {Fermat} {Curves}},
     journal = {Canadian mathematical bulletin},
     pages = {58--63},
     year = {2010},
     volume = {53},
     number = {1},
     doi = {10.4153/CMB-2010-010-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-010-2/}
}
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