Can I read Evidence for the Dynamical Brauer-Manin Criterion on EtoBox?

Evidence for the Dynamical Brauer-Manin Criterion by Amerik, Ekaterina; Kurlberg, Par; Nguyen, Khoa; Towsley, Adam; Viray, Bianca; Voloch, Jose Felipe is a scholarly article available to read on EtoBox.

What is Evidence for the Dynamical Brauer-Manin Criterion about?

Let f:X->X be a morphism of a variety over a number field K. We consider local conditions and a "Bruaer-Manin" condition, defined by Hsia and Silverman, for the orbit of a point P in X(K) to be disjoint from a subvariety V of X, i.e., the intersection of the orbit of P with V is empty. We provide evidence that the dynamical Brauer-Manin condition is sufficient to explain the lack of points in the intersection of the orbit of P with V; this evidence stems from a probabilistic argument as well as unconditional results in the case of etale maps.

Author

Amerik, Ekaterina; Kurlberg, Par; Nguyen, Khoa; Towsley, Adam; Viray, Bianca; Voloch, Jose Felipe

Published

2013

Language

EN