Rings of Algebraic Numbers in Infinite Extensions of $\Q$ and Elliptic Curves Retaining Their Rank

Details Rings of Algebraic Numbers in Infinite Extensions of $\Q$ and Elliptic Curves Retaining Their Rank Rings of Algebraic Numbers in Infinite Extensions of $\Q$ and Elliptic Curves Retaining Their Rank

2007-05-30

arxiv.org/abs/0705.4324v1

Mathematics

Number Theory

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Rings of Algebraic Numbers in Infinite Extensions of $\Q$ and Elliptic Curves Retaining Their Rank does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Rings of Algebraic Numbers in Infinite Extensions of $\Q$ and Elliptic Curves Retaining Their Rank, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rings of Algebraic Numbers in Infinite Extensions of $\Q$ and Elliptic Curves Retaining Their Rank will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-356982