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Differential Forms On Singular Varieties: De Rham and Hodge Theory Simplified

Vincenzo Ancona and Bernard Gaveau
Publisher: 
Chapman & Hall/ CRC
Publication Date: 
2005
Number of Pages: 
309
Format: 
Hardcover
Series: 
Pure and Applied Mathematics 273
Price: 
99.95
ISBN: 
0-8493-3739-9
Category: 
Monograph
We do not plan to review this book.

 CLASSICAL HODGE THEORY. Spectral Sequences and Mixed Hodge Structures. Complex Manifolds, Vector Bundles, Differential Forms. Sheaves and Cohomology. Harmonic Forms on Hermitian Manifolds. Hodge Theory on Compact Kählerian Manifolds. The Theory of Residues on a Smooth Divisor. Complex Spaces. DIFFERENTIAL FORMS ON COMPLEX SPACES. The Basic Example. Differential Forms in Complex Spaces. Mixed Hodge Structures on Compact Spaces. MIXED HODGE STRUCTURES ON NONCOMPACT SPACES. Residues and Hodge Mixed Structures: Leray Theory. Residues and Mixed Hodge Structures on Noncompact Manifolds. Mixed Hodge Structures in Noncompact Spaces: The Basic Example. Mixed Hodge Structures on Noncompact Singular Spaces.

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