The Rank of Abelian Varieties over Infinite Galois Extensions
نویسندگان
چکیده
منابع مشابه
The Growth of the Rank of Abelian Varieties upon Extensions
We study the growth of the rank of elliptic curves and, more generally, Abelian varieties upon extensions of number fields. First, we show that if L/K is a finite Galois extension of number fields such that Gal(L/K) does not have an index 2 subgroup and A/K is an Abelian variety, then rkA(L)− rkA(K) can never be 1. We obtain more precise results when Gal(L/K) is of odd order, alternating, SL2(F...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2002
ISSN: 0022-314X
DOI: 10.1006/jnth.2001.2692