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OverviewThe Dynamical Mordell-Lang Conjecture is an analogue of the classical Mordell-Lang conjecture in the context of arithmetic dynamics. It predicts the behavior of the orbit of a point $x$ under the action of an endomorphism $f$ of a quasiprojective complex variety $X$. More precisely, it claims that for any point $x$ in $X$ and any subvariety $V$ of $X$, the set of indices $n$ such that the $n$-th iterate of $x$ under $f$ lies in $V$ is a finite union of arithmetic progressions. In this book the authors present all known results about the Dynamical Mordell-Lang Conjecture, focusing mainly on a $p$-adic approach which provides a parametrization of the orbit of a point under an endomorphism of a variety. Full Product DetailsAuthor: Jason P. Bell , Dragos Ghioca , Thomas J. TuckerPublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.674kg ISBN: 9781470424084ISBN 10: 1470424088 Pages: 280 Publication Date: 30 April 2016 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReviewsAuthor InformationJason P. Bell, University of Waterloo, Ontario, Canada. Dragos Ghioca, University of British Columbia, Vancouver, BC, Canada. Thomas J. Tucker, University of Rochester, NY, USA. Tab Content 6Author Website:Countries AvailableAll regions |