O-minimality and diophantine geometry / (Record no. 516136)
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| 000 -LEADER | |
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| fixed length control field | 02964nam a22003978i 4500 |
| 001 - CONTROL NUMBER | |
| control field | CR9781316106839 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | UkCbUP |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20200124160214.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION | |
| fixed length control field | m|||||o||d|||||||| |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr|||||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 140530s2015||||enk o ||1 0|eng|d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781316106839 (ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Cancelled/invalid ISBN | 9781107462496 (paperback) |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | UkCbUP |
| Language of cataloging | eng |
| Description conventions | rda |
| Transcribing agency | UkCbUP |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA242.5 |
| Item number | .O45 2015 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516.3/5 |
| Edition number | 23 |
| 245 00 - TITLE STATEMENT | |
| Title | O-minimality and diophantine geometry / |
| Statement of responsibility, etc | edited by G.O. Jones, University of Manchester, A.J. Wilkie, University of Manchester,. |
| 246 3# - VARYING FORM OF TITLE | |
| Title proper/short title | O-Minimality & Diophantine Geometry |
| 264 #1 - Production, Publication, Distribution, Manufacture, and Copyright Notice (R) | |
| Place of production, publication, distribution, manufacture (R) | Cambridge : |
| Name of producer, publisher, distributor, manufacturer (R) | Cambridge University Press, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2015. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (xii, 221 pages) : |
| Other physical details | digital, PDF file(s). |
| 336 ## - Content Type (R) | |
| Content type term (R) | text |
| Content type code (R) | txt |
| Source (NR) | rdacontent |
| 337 ## - Media Type (R) | |
| Media type term (R) | computer |
| Media type code (R) | c |
| Source (NR) | rdamedia |
| 338 ## - Carrier Type (R) | |
| Carrier type term (R) | online resource |
| Carrier type code (R) | cr |
| Source (NR) | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| სერიის ცნობა | London Mathematical Society lecture note series ; |
| Volume number/sequential designation | 421 |
| 500 ## - GENERAL NOTE | |
| General note | Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
| 505 00 - FORMATTED CONTENTS NOTE | |
| Title | The Manin-Mumford Conjecture, an elliptic Curve, its Torsion Points & their Galois Orbits / |
| Statement of responsibility | P. Habegger -- |
| Title | Rational points on definable sets / |
| Statement of responsibility | A.J. Wilkie -- |
| Title | Functional transcendence via o-minimality / |
| Statement of responsibility | Jonathan Pila -- |
| Title | Introduction to abelian varieties and the Ax-Lindemann-Weierstrass theorem / |
| Statement of responsibility | Martin Orr -- |
| Title | The André-Oort conjecture via o-minimality / |
| Statement of responsibility | Christopher Daw -- |
| Title | Lectures on elimination theory for semialgebraic and subanalytic sets / |
| Statement of responsibility | A.J. Wilkie -- |
| Title | Relative Manin-Mumford for abelian varieties / |
| Statement of responsibility | D. Masser -- |
| Title | Improving the bound in the Pila-Wilkie theorem for curves / |
| Statement of responsibility | G.O. Jones -- |
| Title | Ax-Schanuel and o-minimality / |
| Statement of responsibility | Jacob Tsimerman. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This collection of articles, originating from a short course held at the University of Manchester, explores the ideas behind Pila's proof of the Andre-Oort conjecture for products of modular curves. The basic strategy has three main ingredients: the Pila-Wilkie theorem, bounds on Galois orbits, and functional transcendence results. All of these topics are covered in this volume, making it ideal for researchers wishing to keep up to date with the latest developments in the field. Original papers are combined with background articles in both the number theoretic and model theoretic aspects of the subject. These include Martin Orr's survey of abelian varieties, Christopher Daw's introduction to Shimura varieties, and Jacob Tsimerman's proof via o-minimality of Ax's theorem on the functional case of Schanuel's conjecture. |
| 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 | Model theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Geometry, Analytic. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Jones, G. O. |
| Fuller form of name | (Gareth Owen), |
| Relator term | editor. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Wilkie, A. J. |
| Fuller form of name | (Alec J.), |
| Relator term | editor. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Print version: |
| International Standard Book Number | 9781107462496 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | London Mathematical Society lecture note series ; |
| Volume number/sequential designation | 421. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://doi.org/10.1017/CBO9781316106839">https://doi.org/10.1017/CBO9781316106839</a> |
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