Introduction to Holomorphic Functions of Several Variables, Volume III: Homological Theory

Front Cover......Page 1
Title Page......Page 4
Copyright Information......Page 5
Series Contents......Page 6
Preface......Page 8
Contents......Page 10
Series Outline......Page 12
A. Elementary Properties of Sheaves......Page 22
B. Holomorphic Sheaves......Page 33
C. Algebraic Cohomology Theory......Page 44
D. Sheaf Cohomology Theory......Page 57
E. Cech Cohomology Theory......Page 72
F. Induced Sheaves......Page 86
G. Cartan's Lemma......Page 95
H. Holomorphic Sheaves over Polydiscs......Page 106
I. Stein Varieties......Page 117
J. Holomorphic Functions on Stein Varieties......Page 129
K. Meromorphic Functions on Stein Varieties......Page 137
L. Characterization of Stein Varieties......Page 150
M. Finite Mappings and Criteria for Stein Varieties......Page 159
N. Normalization and Stein Varieties......Page 170
O. Cohomological Characterizations of Stein Varieties......Page 176
P. Holomorphic Mappings to C^N......Page 187
Q. Special Holomorphic Polyhedra and Proper Mappings......Page 193
R. Realizations of Stein Varieties......Page 201
References......Page 210
Index......Page 214
Back Cover......Page 216