Weil-Chatelet divisible elements of Tate-Shafarevich groups

Details Weil-Chatelet divisible elements of Tate-Shafarevich groups Weil-Chatelet divisible elements of Tate-Shafarevich groups

2011-06-21

arxiv.org/abs/1106.4255v1

Mathematics

Number Theory

33 pages

Scientific paper

For an abelian variety A over a number field k we discuss divisibility
questions in H^1(k,A) of elements of the subgroup Sha(A/k). The results are
most complete for elliptic curves over Q. The connection to the section
conjecture of anabelian geometry is discussed.

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