Rings of Algebraic Numbers in Infinite Extensions of Q and Elliptic Curves Retaining Their Rank
نویسنده
چکیده
We show that elliptic curves whose Mordell-Weil groups are finitely generated over some infinite extensions of Q, can be used to show the Diophantine undecidability of the rings of integers and bigger rings contained in some infinite extensions of rational numbers.
منابع مشابه
Elliptic Curves Retaining Their Rank in Finite Extensions and Hilbert’s Tenth Problem for Rings of Algebraic Numbers
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تاریخ انتشار 2008