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Several complex variables and complex manifolds. II /
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 postgradua...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
1982.
|
| Colección: | London Mathematical Society lecture note series ;
no. 66. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Field, Mike. | |
| 245 | 1 | 0 | |a Several complex variables and complex manifolds. |n II / |c Mike Field. |
| 260 | |a Cambridge : |b Cambridge University Press, |c 1982. | ||
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
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| 490 | 1 | |a London Mathematical Society Lecture Note Series ; |v no. 66 | |
| 500 | |a Title from publishers bibliographic system (viewed on 22 Dec 2011). | ||
| 588 | 0 | |a Print version record. | |
| 504 | |a Includes bibliographical references and indexes. | ||
| 520 | |a 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. | ||
| 505 | 0 | |a 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 | |
| 505 | 8 | |a 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 | |
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Functions of several complex variables. | |
| 650 | 0 | |a Manifolds (Mathematics) | |
| 650 | 6 | |a Fonctions de plusieurs variables complexes. | |
| 650 | 6 | |a Variétés (Mathématiques) | |
| 650 | 7 | |a MATHEMATICS |x Complex Analysis. |2 bisacsh | |
| 650 | 7 | |a Functions of several complex variables. |2 fast |0 (OCoLC)fst00936123 | |
| 650 | 7 | |a Manifolds (Mathematics) |2 fast |0 (OCoLC)fst01007726 | |
| 776 | 0 | 8 | |i Print version: |a Field, Mike. |t Several Complex Variables and Complex Manifolds II. |d Cambridge : Cambridge University Press, 1982 |z 9780521288880 |
| 830 | 0 | |a London Mathematical Society lecture note series ; |v no. 66. | |
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