From holomorphic functions to complex manifolds/ Klaus Fritzsche and Hans Grauert

By:

Fritzsche, Klaus

Contributor(s):

Grauert, Hans

Material type:

TextSeries: (Graduate texts in mathematics) ; 213Publication details: New York: Springer, 2002.Description: xv, 392 p. : ill. ; 24 cmISBN:

9780387953953

Subject(s):

DDC classification:

515.98 FRI/

Contents:

I. Holomorphic Functions -- 1. Complex Geometry -- 2. Power Series -- 3. Complex Differentiable Functions -- 4. The Cauchy Integral -- 5. The Hartogs Figure -- 6. The Cauchy-Riemann Equations -- 7. Holomorphic Maps -- 8. Analytic Sets -- II. Domains of Holomorphy -- 1. The Continuity Theorem -- 2. Plurisubharmonic Functions -- 3. Pseudoconvexity -- 4. Levi Convex Boundaries -- 5. Holomorphic Convexity -- 6. Singular Functions -- 7. Examples and Applications -- 8. Riemann Domains over C[superscript n] -- 9. The Envelope of Holomorphy -- III. Analytic Sets -- 1. The Algebra of Power Series -- 2. The Preparation Theorem -- 3. Prime Factorization -- 4. Branched Coverings -- 5. Irreducible Components -- 6. Regular and Singular Points -- IV. Complex Manifolds -- 1. The Complex Structure -- 2. Complex Fiber Bundles -- 3. Cohomology -- 4. Meromorphic Functions and Divisors -- 5. Quotients and Submanifolds -- 6. Branched Riemann Domain -- 7. Modification and Toric Closures -- V. Stein Theory -- 1. Stein Manifolds -- 2. The Levi Form -- 3. Pseudoconvexity -- 4. Cuboids -- 5. Special Coverings -- 6. The Levi Problem -- VI. Kahler Manifolds -- 1. Differential Algebra -- 2. Dolbeault Theory -- 3. Kahler Metrics -- 4. The Inner Product -- 5. Hodge Decomposition -- 6. Hodge Manifolds -- 7. Applications -- VII. Boundary Behavior -- 1. Strongly Pseudoconvex Manifolds -- 2. Subelliptic Estimates -- 3. Nebenhullen -- 4. Boundary Behavior of Biholomorphic Maps.

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Holdings
Cover image	Item type	Current library	Home library	Collection	Shelving location	Call number	Materials specified	Vol info	URL	Copy number	Status	Notes	Date due	Barcode	Item holds	Item hold queue priority	Course reserves
	General Books	Central Library, Sikkim University General Book Section				515.98 FRI/ (Browse shelf(Opens below))					Available			P25220

Total holds: 0

I. Holomorphic Functions --
1. Complex Geometry --
2. Power Series --
3. Complex Differentiable Functions --
4. The Cauchy Integral --
5. The Hartogs Figure --
6. The Cauchy-Riemann Equations --
7. Holomorphic Maps --
8. Analytic Sets --
II. Domains of Holomorphy --
1. The Continuity Theorem --
2. Plurisubharmonic Functions --
3. Pseudoconvexity --
4. Levi Convex Boundaries --
5. Holomorphic Convexity --
6. Singular Functions --
7. Examples and Applications --
8. Riemann Domains over C[superscript n] --
9. The Envelope of Holomorphy --
III. Analytic Sets --
1. The Algebra of Power Series --
2. The Preparation Theorem --
3. Prime Factorization --
4. Branched Coverings --
5. Irreducible Components --
6. Regular and Singular Points --
IV. Complex Manifolds --
1. The Complex Structure --
2. Complex Fiber Bundles --
3. Cohomology --
4. Meromorphic Functions and Divisors --
5. Quotients and Submanifolds --
6. Branched Riemann Domain --
7. Modification and Toric Closures --
V. Stein Theory --
1. Stein Manifolds --
2. The Levi Form --
3. Pseudoconvexity --
4. Cuboids --
5. Special Coverings --
6. The Levi Problem --
VI. Kahler Manifolds --
1. Differential Algebra --
2. Dolbeault Theory --
3. Kahler Metrics --
4. The Inner Product --
5. Hodge Decomposition --
6. Hodge Manifolds --
7. Applications --
VII. Boundary Behavior --
1. Strongly Pseudoconvex Manifolds --
2. Subelliptic Estimates --
3. Nebenhullen --
4. Boundary Behavior of Biholomorphic Maps.

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