On the rank of abelian varieties over function fields
نویسندگان
چکیده
منابع مشابه
On the Rank of Abelian Varieties over Function Fields
Let C be a smooth projective curve defined over a number field k, A/k(C) an abelian variety and (τ, B) the k(C)/k-trace of A. We estimate how the rank of A(k(C))/τB(k) varies when we take a finite Galois k-cover π : C → C defined over k.
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ژورنال
عنوان ژورنال: manuscripta mathematica
سال: 2005
ISSN: 0025-2611,1432-1785
DOI: 10.1007/s00229-005-0597-7