Analytic and algebraic geometry
Subtitle: common problems, different methods
By: Jeffery McNeal, Mircea Mustata, editors
Series: IAS/Park City mathematics series -- v. 17; IAS/Park City mathematics series -- v. 17.
Publisher: American Mathematical Society; Institute for Advanced Study
Published: 2010
Place of publication: Providence, R.I; [Princeton, N.J.]
Language: eng
Number of pages: 583
ISBN-13: 9780821849088
Subjects: Analytic Geometry; Algebraic Geometry
Description: "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.
Notes: Includes bibliographical references.