Can I read A Remark on the Effective Mordell Conjecture and Rational Pre-Images under Quadratic Dynamical Systems on EtoBox?

A Remark on the Effective Mordell Conjecture and Rational Pre-Images under Quadratic Dynamical Systems by Faber, X. W. C. is a scholarly article available to read on EtoBox.

What is A Remark on the Effective Mordell Conjecture and Rational Pre-Images under Quadratic Dynamical Systems about?

Fix a rational basepoint b and a rational number c. For the quadratic dynamical system f_c(x) = x^2+c, it has been shown that the number of rational points in the backward orbit of b is bounded independent of the choice of rational parameter c. In this short note we investigate the dependence of the bound on the basepoint b, assuming a strong form of the Mordell Conjecture.

Author

Faber, X. W. C.

Published

2009

Language

EN