Linear relations among the values of canonical heights from the existence of non-trivial endomorphisms
نویسنده
چکیده
We study the interplay between canonical heights and endomorphisms of an abelian variety A over a number field k. In particular we show that whenever the ring of endomorphisms defined over k is strictly larger than Z there will be Q-linear relations among the values of a canonical height pairing evaluated at a basis modulo torsion of A(k).1
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تاریخ انتشار 2008