Small heights in large non-Abelian extensions
نویسندگان
چکیده
Let E be an elliptic curve over the rationals. L infinite Galois extension of rationals with uniformly bounded local degrees at almost all primes. We will consider L(E_tor) where we adjoin coordinates torsion points E. In this paper prove effective lower bound for height non-zero elements in that are not a root unity.
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ژورنال
عنوان ژورنال: Annali della Scuola normale superiore di Pisa. Classe di scienze
سال: 2022
ISSN: ['0391-173X', '2036-2145']
DOI: https://doi.org/10.2422/2036-2145.201811_018