Descent on Elliptic Curves and Hilbert's Tenth Problem

Autor:	Everest, Graham, Eisentraeger, Kirsten
Rok vydání:	2007
Předmět:	Mathematics - Number Theory Mathematics - Logic 11G05 11U05
Druh dokumentu:	Working Paper
Popis:	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. Comment: Second author added. Paper now accepted by Proc AMS
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0707.1485 Zobrazit plný text záznamu View this record from Arxiv