000			00380nam a2200145Ia 4500
999			_c170243 _d170243
020			_a9780387953953
040			_cCUS
082			_a515.98 _bFRI/
100			_aFritzsche, Klaus
245		0	_aFrom holomorphic functions to complex manifolds/ _cKlaus Fritzsche and Hans Grauert
260			_aNew York: _bSpringer, _c2002.
300			_axv, 392 p. : _bill. ; _c24 cm.
440			_a(Graduate texts in mathematics), _v213
505			_aI. 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.
650			_aComplex manifolds
650			_aHolomorphic functions
650			_aMathematics
700			_aGrauert, Hans
942			_cWB16