Description

Book Synopsis
The Dynamical Mordell-Lang Conjecture is an analogue of the classical Mordell-Lang conjecture in the context of arithmetic dynamics. This volume presents all known results of 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.

Table of Contents
  • Introduction
  • Background material
  • The dynamical Mordell-Lang problem
  • A geometric Skolem-Mahler-Lech theorem
  • Linear relations between points in polynomial orbits
  • Parametrization of orbits
  • The split case in the dynamical Mordell-Lang conjecture
  • Heuristics for avoiding ramification
  • Higher dimensional results
  • Additional results towards the dynamical Mordell-Lang conjecture
  • Sparse sets in the dynamical Mordell-Lang conjecture
  • Denis-Mordell-Lang conjecture
  • Dynamical Mordell-Lang conjecture in positive characteristic
  • Related problems in arithmetic dynamics
  • Future directions
  • Bibliography
  • Index

The Dynamical MordellLang Conjecture

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    £103.50

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    RRP £115.00 – you save £11.50 (10%)

    Order before 4pm tomorrow for delivery by Mon 22 Jun 2026.

    A Hardback by Jason P. Bell, Dragos Ghioca, Thomas J. Tucker

    1 in stock


      View other formats and editions of The Dynamical MordellLang Conjecture by Jason P. Bell

      Publisher: MP-AMM American Mathematical
      Publication Date: 4/30/2016 12:00:00 AM
      ISBN13: 9781470424084, 978-1470424084
      ISBN10: 1470424088

      Description

      Book Synopsis
      The Dynamical Mordell-Lang Conjecture is an analogue of the classical Mordell-Lang conjecture in the context of arithmetic dynamics. This volume presents all known results of 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.

      Table of Contents
      • Introduction
      • Background material
      • The dynamical Mordell-Lang problem
      • A geometric Skolem-Mahler-Lech theorem
      • Linear relations between points in polynomial orbits
      • Parametrization of orbits
      • The split case in the dynamical Mordell-Lang conjecture
      • Heuristics for avoiding ramification
      • Higher dimensional results
      • Additional results towards the dynamical Mordell-Lang conjecture
      • Sparse sets in the dynamical Mordell-Lang conjecture
      • Denis-Mordell-Lang conjecture
      • Dynamical Mordell-Lang conjecture in positive characteristic
      • Related problems in arithmetic dynamics
      • Future directions
      • Bibliography
      • Index

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