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 |