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Book
Author Ancona, Vincenzo.

Title Differential Forms on Singular Varieties : De Rham and Hodge Theory Simplified
Published Hoboken : CRC Press, 2005
Online access available from:
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Description 1 online resource (333 pages)
Contents Contents; Chapter 1: Spectral sequences and mixed Hodge structures; Chapter 2: Complex manifolds, vector bundles, differential forms; Chapter 3: Sheaves and cohomology; Chapter 4: Harmonic forms on hermitian manifolds; Chapter 5: Hodge theory on compact kählerian manifolds; Chapter 6: The theory of residues on a smooth divisor; Chapter 7: Complex spaces; Chapter 1: The basic example; Chapter 2: Differential forms on complex spaces; Chapter 3: Mixed Hodge structures on compact spaces; Chapter 1: Residues and Hodge mixed structures: Leray theory
Summary Mathematicians Ancona (U. of Firenze, Italy) and Gaveau (U. of Pierre et Marie Curie, Paris) use complexes of differential forms to provide a complete treatment of the Deligne theory of mixed Hodge structures on the cohomology of singular spaces. Their approach employs recursive arguments on dimension, and neither introduces spaces of higher dimens
Notes Print version record
Subject Differential forms
Geometry, Algebraic
Hodge theory
Singularities (Mathematics)
Differential forms.
Geometry, Algebraic.
Hodge theory.
Singularities (Mathematics)
Form Electronic book
ISBN 1280537663
1420026526
9781280537660
9781420026528