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Analytic and algebraic geometry : = ...

McNeal, Jeffery D.

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Analytic and algebraic geometry : = common problems, different methods /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Analytic and algebraic geometry :/ Jeffery McNeal, Mircea Mustata, editors.
其他題名:	common problems, different methods /
其他作者:	McNeal, Jeffery D.
出版者:	Providence, R.I. :American Mathematical Society ; : c2010.,
面頁冊數:	1 online resource (xiv, 583 p. : ill.)
標題:	Geometry, Analytic. -
電子資源:	http://www.ams.org/pcms/017
電子資源:	https://doi.org/10.1090/pcms/017
ISBN:	9781470416317 (online)

Analytic and algebraic geometry : = common problems, different methods /
Analytic and algebraic geometry :common problems, different methods /[electronic resource] Jeffery McNeal, Mircea Mustata, editors. - Providence, R.I. :American Mathematical Society ;c2010. - 1 online resource (xiv, 583 p. : ill.) - IAS/Park City Mathematics Series, v. 172472-5064 ; . - IAS/Park City mathematics series ;v. 17..

Includes bibliographical references.

Introduction

Access is restricted to licensed institutions

"Analytic and algebraic geometers often study the same geometric structures but bring different methods to bear on them. While this dual approach has been spectacularly successful at solving problems, the language differences between algebra and analysis also represent a difficulty for students and researchers in geometry, particularly complex geometry. The PCMI program was designed to partially address this language gulf, by presenting some of the active developments in algebraic and analytic geometry in a form suitable for students on the 'other side' of the analysis-algebra language divide. One focal point of the summer school was multiplier ideals, a subject of wide current interest in both subjects. The present volume is based on a series of lectures at the PCMI summer school on analytic and algebraic geometry. The series is designed to give a high-level introduction to the advanced techniques behind some recent developments in algebraic and analytic geometry. The lectures contain many illustrative examples, detailed computations, and new perspectives on the topics presented, in order to enhance access of this material to non-specialists."--Publisher's description.

Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012

Mode of access : World Wide Web

ISBN: 9781470416317 (online)Subjects--Topical Terms:

516181
Geometry, Analytic.

LC Class. No.: QA551 / .A485 2010

Dewey Class. No.: 516.3

Analytic and algebraic geometry : = common problems, different methods /
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245 0 0 $a Analytic and algebraic geometry : $h [electronic resource] $b common problems, different methods / $c Jeffery McNeal, Mircea Mustata, editors.
260 $a Providence, R.I. : $b American Mathematical Society ; $a [Princeton, N.J.] : $b Institute for Advanced Study, $c c2010.
300 $a 1 online resource (xiv, 583 p. : ill.)
490 1 $a IAS/Park City Mathematics Series, $x 2472-5064 ; $v v. 17
504 $a Includes bibliographical references.
505 0 0 $t Introduction $t An introduction to things $\overline {\partial }$ $t Real and complex geometry meet the Cauchy-Riemann equations $t Three variations on a theme in complex analytic geometry $t Structure theorems for projective and K{uml}ahler varieties $t Lecture notes on rational polytopes and finite generation $t Introduction to resolution of singularities $t A short course on multiplier ideals $t Exercises in the birational geometry of algebraic varieties $t Higher dimensional minimal model program for varieties of log general type $t Lectures on flips and minimal models
506 1 $a Access is restricted to licensed institutions
520 $a "Analytic and algebraic geometers often study the same geometric structures but bring different methods to bear on them. While this dual approach has been spectacularly successful at solving problems, the language differences between algebra and analysis also represent a difficulty for students and researchers in geometry, particularly complex geometry. The PCMI program was designed to partially address this language gulf, by presenting some of the active developments in algebraic and analytic geometry in a form suitable for students on the 'other side' of the analysis-algebra language divide. One focal point of the summer school was multiplier ideals, a subject of wide current interest in both subjects. The present volume is based on a series of lectures at the PCMI summer school on analytic and algebraic geometry. The series is designed to give a high-level introduction to the advanced techniques behind some recent developments in algebraic and analytic geometry. The lectures contain many illustrative examples, detailed computations, and new perspectives on the topics presented, in order to enhance access of this material to non-specialists."--Publisher's description.
533 $a Electronic reproduction. $b Providence, Rhode Island : $c American Mathematical Society. $d 2012
538 $a Mode of access : World Wide Web
588 $a Description based on print version record.
650 0 $a Geometry, Analytic. $3 516181
650 0 $a Geometry, Algebraic. $3 532048
700 1 $a McNeal, Jeffery D. $3 1236031
700 1 $a Mustata, Mircea, $d 1971- $3 1236032
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856 4 $3 Contents $u http://www.ams.org/pcms/017
856 4 $3 Contents $u https://doi.org/10.1090/pcms/017