Descent on Elliptic Curves and Hilbert's Tenth Problem
classification
🧮 math.NT
math.LO
keywords
ellipticdescenthilbertnumbersproblemrationalsubringstenth
read the original abstract
Descent via an isogeny on an elliptic curve is used to construct two subrings of the field of rational numbers, which are complementary in a strong sense, and for which Hilbert's Tenth Problem is undecidable. This method further develops that of Poonen, who used elliptic divisibility sequences to obtain undecidability results for some large subrings of the rational numbers.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.