Online Public Access Catalogue (OPAC)
Library,Documentation and Information Science Division

“A research journal serves that narrow

borderland which separates the known from the unknown”

-P.C.Mahalanobis


Dynamical Mordell-Lang conjecture / (Record no. 423571)

MARC details
000 -LEADER
fixed length control field 02350cam a2200301 i 4500
001 - CONTROL NUMBER
control field 137673
003 - CONTROL NUMBER IDENTIFIER
control field ISI Library, Kolkata
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20170516130047.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 150921s2016 riu b 001 0 eng
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781470424084
040 ## - CATALOGING SOURCE
Original cataloging agency ISI Library
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 510MS
Edition number 23
Item number Am512
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Bell, Jason P.,
Relator term author
245 10 - TITLE STATEMENT
Title Dynamical Mordell-Lang conjecture /
Statement of responsibility, etc Jason P. Bell, Dragos Ghioca and Thomas J. Tucker.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc Providence :
Name of publisher, distributor, etc American Mathematical Society,
Date of publication, distribution, etc ©2016.
300 ## - PHYSICAL DESCRIPTION
Extent xiii, 280 pages ;
Dimensions 26 cm.
490 0# - SERIES STATEMENT
Series statement Mathematical surveys and monographs ;
Volume number/sequential designation v 210.
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references and index.
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 1. Introduction --<br/>2. Background material --<br/>3. The dynamical mordell-lang problem --<br/>4. A geometric Skolem-Mahler-Lech theorem --<br/>5. Linear relations between points in polynomial orbits --<br/>6. Parameterization of orbits --<br/>7. The split case in the dynamical mordell-ang conjecture --<br/>8. Heuristics for avoiding ramification --<br/>9. Higher dimensional results --<br/>10. Additional results towards the dynamical mordell-lang conjecture --<br/>11. Sparse sets in the dynamical mordell-lang conjecture --<br/>12. Denis-mordell-lang conjecture --<br/>13. Dynamical mordell-lang conjecture in positive characteristic --<br/>14. Related problems in arithmetic dynamics --<br/>15. Future directions.
520 ## - SUMMARY, ETC.
Summary, etc 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.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mordell conjecture.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Algebraic curves.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Arithmetical algebraic geometry.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Algebraic geometry.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Ghioca, Dragos,
Relator term author
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Tucker, Thomas J.,
Relator term author
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Dewey Decimal Classification
Koha item type Books
Holdings
Lost status Not for loan Home library Current library Date acquired Source of acquisition Cost, normal purchase price Full call number Accession Number Koha item type
    ISI Library, Kolkata ISI Library, Kolkata 31/03/2017 279 6751.80 510MS Am512 137673 Books
Library, Documentation and Information Science Division, Indian Statistical Institute, 203 B T Road, Kolkata 700108, INDIA
Phone no. 91-33-2575 2100, Fax no. 91-33-2578 1412, ksatpathy@isical.ac.in