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The Dynamical Mordell–Lang Conjecture

By: Jason P. Bell,Dragos Ghioca,Thomas J. Tucker

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The Dynamical Mordell–Lang Conjecture

By: Jason P. Bell,Dragos Ghioca,Thomas J. Tucker

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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Page Count

297

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470424088

ISBN 13

9781470424084

The Dynamical Mordell–Lang Conjecture

By: Jason P. Bell,Dragos Ghioca,Thomas J. Tucker

Write a review Read reviews Take a Quiz Solve Book Puzzle

The Dynamical Mordell–Lang Conjecture

By: Jason P. Bell,Dragos Ghioca,Thomas J. Tucker

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.

Average ratings

N/A

5

0%

4

0%

3

0%

2

0%

1

0%

Write a review

Solve jigsaw puzzle

Age

Page Count

297

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470424088

ISBN 13

9781470424084

Book's by Dragos Ghioca

The Dynamical Mordell–Lang Conjecture

The Dynamical Mordell–Lang Conjecture

The Dynamical Mordell–Lang Conjecture

The Dynamical Mordell–Lang Conjecture

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