plex Variables IV Algebraic Aspects plex Analysis -[S G Gindikin, S G Gindikin, G M Khenkin].pdf

文档介绍：. Gindikin G. M. Khenkin (Eds.)
Several
Complex Variables IV
Algebraic Aspects plex Analysis
J
Springer-Verlag
Berlin Heidelberg New York
London Paris Tokyo
Hong Kong
Contents
I. Methods in the Theory of Sheaves and Stein Spaces
. Onishchik
1
II. Holomorphic Vector Bundles and the Oka-Grauert Principle
J. Leiterer
63
III. Deformations plex Spaces
. Palamodov
105
IV. plex Manifolds
. Akhiezer
195
Author Index
245
Subject Index
248
I. Methods in the Theory of Sheaves and
Stein Spaces
. Onishchik
Translated from the Russian
by J. Nunemacher
Contents
Introduction ................................................... 2
Chapter 1. Sheaves ............................................. 3
1. Definition of a Sheaf. ......................................... 3
2. Sheaves of Germs of Functions; Presheaves. ...................... 4
3. The Simplest Concepts Related to Sheaves of Groups, Algebras, and
Modules .................................................... 6
4. The Lifting of Sections ........................................ 8
5. The Extension of Sections ..................................... 11
6. Direct and Inverse Images ..................................... 12
Chapter 2. Complex Spaces ...................................... 13
1. Analytic Local Algebras. ........... . . . . . . . . . . 13
2. Analytic Sets ..................... . . . . . . . . . . . . 15
3. Ringed Spaces .................... . . . . . . . . . . . 16
4. Coherent Sheaves of Modules ....... . . . . . . . . . . . . 18
5. Analytic Spaces ................... . . . . . . . . . . . 20
6. Normal Spaces. ................... . . . . . . . . . . . . 23
7. Constructions plex Spaces. ... . . . . . . . . . . . . 25
8. Holomorphic Fiber Bundles ........ . . . . . . . . . . . . 26
9. Meromorphic Functions and Divisors . . . . . . . . . . . . 28
Chapter 3. Cohomology with Values in a Sh