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Birational Geometry, Rational Curves, and Arithmetic (Record no. 23224)

000 -LEADER
fixed length control field 03536nam a22004575i 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20140310151449.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 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
Copies
Price effective from Permanent location Date last seen Not for loan Date acquired Source of classification or shelving scheme Koha item type Damaged status Lost status Withdrawn status Current location Full call number
2014-04-09AUM Main Library2014-04-09 2014-04-09 E-Book   AUM Main Library516.35