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20140310151449.0 |
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130517s2013 xxu| s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781461464822 |
|
978-1-4614-6482-2 |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA564-609 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
516.35 |
Edition number |
23 |
264 #1 - |
-- |
New York, NY : |
-- |
Springer New York : |
-- |
Imprint: Springer, |
-- |
2013. |
912 ## - |
-- |
ZDB-2-SMA |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Bogomolov, Fedor. |
Relator term |
editor. |
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
Title |
Birational Geometry, Rational Curves, and Arithmetic |
Medium |
[electronic resource] / |
Statement of responsibility, etc |
edited by Fedor Bogomolov, Brendan Hassett, Yuri Tschinkel. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
XII, 320 p. 21 illus. |
Other physical details |
online resource. |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
Foreword -- Introduction.- A. Bertram and I. Coskun, The birational geometry of the Hilbert scheme of points on surfaces -- F. Bogomolov and Ch. Böhning, Isoclinism and stable cohomology of wreath products -- F. Bogomolov, I. Karzhemanov, and K. Kuyumzhiyan, Unirationality and existence of infinitely transitive models -- I. Cheltsov, L. Katzarkov, and V. Przyjalkowski, Birational geometry via moduli spaces -- O. Debarre, Curves of low degrees on projective varieties -- S. Kebekus, Uniruledness criteria and applications -- S. Kovács, The cone of curves of K3 surfaces revisited -- V. Lazić, Around and beyond the canonical class -- C. Liedtke, Algebraic surfaces in positive characteristic -- A. Varilly-Alvarado, Arithmetic of Del Pezzo surfaces. |
520 ## - SUMMARY, ETC. |
Summary, etc |
This book features recent developments in a rapidly growing area at the interface of higher-dimensional birational geometry and arithmetic geometry. It focuses on the geometry of spaces of rational curves, with an emphasis on applications to arithmetic questions. Classically, arithmetic is the study of rational or integral solutions of diophantine equations and geometry is the study of lines and conics. From the modern standpoint, arithmetic is the study of rational and integral points on algebraic varieties over nonclosed fields. A major insight of the 20th century was that arithmetic properties of an algebraic variety are tightly linked to the geometry of rational curves on the variety and how they vary in families. This collection of solicited survey and research papers is intended to serve as an introduction for graduate students and researchers interested in entering the field, and as a source of reference for experts working on related problems. Topics that will be addressed include: birational properties such as rationality, unirationality, and rational connectedness, existence of rational curves in prescribed homology classes, cones of rational curves on rationally connected and Calabi-Yau varieties, as well as related questions within the framework of the Minimal Model Program. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Geometry, algebraic. |
|
Topical term or geographic name as entry element |
Geometry. |
|
Topical term or geographic name as entry element |
Number theory. |
|
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Algebraic Geometry. |
|
Topical term or geographic name as entry element |
Number Theory. |
|
Topical term or geographic name as entry element |
Geometry. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Hassett, Brendan. |
Relator term |
editor. |
|
Personal name |
Tschinkel, Yuri. |
Relator term |
editor. |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Display text |
Printed edition: |
International Standard Book Number |
9781461464815 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-1-4614-6482-2 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
E-Book |