Dynamical Mordell-Lang Conjecture
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€122.99
A01=Dragos Ghioca
A01=Jason P. Bell
A01=Thomas J. Tucker
Author_Dragos Ghioca
Author_Jason P. Bell
Author_Thomas J. Tucker
Category=PBF
Category=PBH
Category=PBMW
eq_isMigrated=1
eq_nobargain
Product details
- ISBN 9781470424084
- Weight: 674g
- Dimensions: 178 x 254mm
- Publication Date: 30 Apr 2016
- Publisher: American Mathematical Society
- Publication City/Country: US
- Product Form: Hardback
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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.
Jason P. Bell, University of Waterloo, Ontario, Canada.
Dragos Ghioca, University of British Columbia, Vancouver, BC, Canada.
Thomas J. Tucker, University of Rochester, NY, USA.
Dragos Ghioca, University of British Columbia, Vancouver, BC, Canada.
Thomas J. Tucker, University of Rochester, NY, USA.
