The Dynamical Mordell-Lang Conjecture Hardback
by Jason P. Bell, Dragos Ghioca, Thomas J. Tucker
Part of the Mathematical Surveys and Monographs series
Hardback
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Description
The 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.
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Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Hardback
- Pages:280 pages
- Publisher:American Mathematical Society
- Publication Date:30/04/2016
- Category:
- ISBN:9781470424084
Information
-
Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Hardback
- Pages:280 pages
- Publisher:American Mathematical Society
- Publication Date:30/04/2016
- Category:
- ISBN:9781470424084
