Several complex variables and complex manifolds. II /

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Bibliographic Details
Author / Creator:	Field, Mike.
Imprint:	Cambridge : Cambridge University Press, 1982.
Description:	1 online resource
Language:	English
Series:	London Mathematical Society Lecture Note Series ; no. 66 London Mathematical Society lecture note series ; no. 66.
Subject:	Functions of several complex variables. Manifolds (Mathematics) Functions of several complex variables. Manifolds (Mathematics) Electronic books.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11124713

Hidden Bibliographic Details
ISBN:	9781107361218 1107361214 9780511629327 051162932X 9781139884099 1139884093 9780521288880 0521288886
Notes:	Title from publishers bibliographic system (viewed on 22 Dec 2011). Includes bibliographical references and indexes. Print version record.
Summary:	This self-contained and relatively elementary introduction to functions of several complex variables and complex (especially compact) manifolds is intended to be a synthesis of those topics and a broad introduction to the field. Part I is suitable for advanced undergraduates and beginning postgraduates whilst Part II is written more for the graduate student. The work as a whole will be useful to professional mathematicians or mathematical physicists who wish to acquire a working knowledge of this area of mathematics. Many exercises have been included and indeed they form an integral part of the text. The prerequisites for understanding Part I would be met by any mathematics student with a first degree and together the two parts provide an introduction to the more advanced works in the subject.
Other form:	Print version: Field, Mike. Several Complex Variables and Complex Manifolds II. Cambridge : Cambridge University Press, 1982 9780521288880

Table of Contents:

Cover; Title; Copyright; Preface; Contents; Chapter 5. Calculus on Complex Manifolds; Introduction.; 1. Review of Linear Algebra; 2. Calculus on Differential Manifolds; 3. Complexification; 4. Complex Linear Algebra; 5. Generalities on Complex Vector Bundles; 6. Tangent and Cotangent Bundles of a Complex Manifold; 7. Calculus on a Complex Manifold; 8. The Dolbeault-Grothendieck Lemma; 9. Holomorphic Vector Bundles on Compact Complex Manifolds; 10. Pseudoconvexivity and Stein Manifolds; Chapter 6. Sheaf Theory; Introduction; 1. Sheaves and Presheaves; 2. Envelope of Holomorphy
3. Sheaf CohomologyChapter 7. Coherent Sheaves; Introduction.; 1. Coherent Sheaves; 2. Coherent Sheaves on a Stein Manifold; 3. The Finiteness Theorem of Cartan and Serre; 4. The Finiteness Theorem of Grauert; 5. Coherent Sheaves on Protective Space; 6. The Kodaira Embedding Theorem; Bibliography; Index

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