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The dynamical Mordell-Lang conjecture / Jason P. Bell, Dragos Ghioca, Thomas J. Tucker
(Mathematical Surveys and Monographs. ISSN:23317159 ; v. 210)

Publisher Providence, Rhode Island : American Mathematical Society
Year [2016]
Size 1 online resource (xiii, 280 pages)
Authors *Bell, Jason P. 1974-
Ghioca, Dragos 1978-
Tucker, Thomas J. 1969-
Subjects LCSH:Mordell conjecture
LCSH:Curves, Algebraic
LCSH:Arithmetical algebraic geometry
LCSH:Geometry, Algebraic
FREE:Number theory -- Research exposition (monographs, survey articles)  All Subject Search
FREE:Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Varieties over finite and local fields  All Subject Search
FREE:Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Varieties over global fields  All Subject Search
FREE:Algebraic geometry -- Foundations -- Varieties and morphisms  All Subject Search
FREE:Dynamical systems and ergodic theory -- Research exposition (monographs, survey articles)  All Subject Search
FREE:Dynamical systems and ergodic theory -- Complex dynamical systems -- Polynomials; rational maps; entire and meromorphic functions  All Subject Search
FREE:Dynamical systems and ergodic theory -- Arithmetic and non-Archimedean dynamical systems -- Arithmetic dynamics on general algebraic varieties  All Subject Search
FREE:Dynamical systems and ergodic theory -- Arithmetic and non-Archimedean dynamical systems -- Non-Archimedean local ground fields  All Subject Search
Contents Chapter 1. Introduction
Chapter 2. Background material
Chapter 3. The dynamical Mordell-Lang problem
Chapter 4. A geometric Skolem-Mahler-Lech theorem
Chapter 5. Linear relations between points in polynomial orbits
Chapter 6. Parametrization of orbits
Chapter 7. The split case in the dynamical Mordell-Lang conjecture
Chapter 8. Heuristics for avoiding ramification
Chapter 9. Higher dimensional results
Chapter 10. Additional results towards the dynamical Mordell-Lang conjecture
Chapter 11. Sparse sets in the dynamical Mordell-Lang conjecture
Chapter 12. Denis-Mordell-Lang conjecture
Chapter 13. Dynamical Mordell-Lang conjecture in positive characteristic
Chapter 14. Related problems in arithmetic dynamics
Chapter 15. Future directions
Notes Includes bibliographical references and index
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Electronic reproduction Providence, Rhode Island American Mathematical Society 2016
Mode of access : World Wide Web
Description based on print version record
HTTP:URL=http://www.ams.org/surv/210 Information=Contents
HTTP:URL=https://doi.org/10.1090/surv/210 Information=Contents
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Mathematical Surveys and Monographs 9781470429089
電子リソース
EB00103208

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Material Type E-Book
Classification LCC:QA565
DC23:516.3/52
ID 4000113138
ISBN 9781470429089

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