Rational points of Abelian varieties with values in towers of number fields. (English) Zbl 0245.14015
MSC:
| 14G25 | Global ground fields in algebraic geometry |
| 11G10 | Abelian varieties of dimension \(> 1\) |
| 14K15 | Arithmetic ground fields for abelian varieties |
| 11R23 | Iwasawa theory |
Keywords:
tower of abelian extensions; cyclotomic \(\Gamma\)-extension; abelian variety; finitely generated group of rational points; Shafarevich-Tate group; Iwasawa’s characteristic polynomialsOnline Encyclopedia of Integer Sequences:
Euler elliptic Carmichael numbers for the elliptic curve y^2 = x^3 + 80.Strong elliptic Carmichael numbers for the elliptic curve y^2 = x^3 + 80.
References:
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