Differential Forms on Singular Varieties
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A01=Bernard Gaveau
A01=Vincenzo Ancona
advanced cohomology for singular spaces
algebraic topology
Author_Bernard Gaveau
Author_Vincenzo Ancona
Category=PBK
Category=PBM
class
Closed Subset
Coherent Sheaf
Cohomological Degree
cohomology
Cohomology Class
Cohomology Groups
Commutative Diagram
complex
complex geometry
Complex Spaces
Constant Sheaf
De Rham
De Rham Complex
Direct Sum
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Exact Sequence
Harmonic Forms
Hermitian Metrics
hodge
Hodge Structure
Holomorphic Function
Holomorphic Vector Bundle
Invertible Sheaf
Irreducible Component
KA?hler manifold methods
Leray spectral analysis
manifold
Mayer Vietoris Sequence
mixed
Mixed Hodge Structures
rham
sequence
singularity theory
Smooth Divisor
Smooth Manifold
spectral
Spectral Sequence
structure
Vector Spaces
weight filtration
Product details
- ISBN 9780849337390
- Weight: 589g
- Dimensions: 156 x 234mm
- Publication Date: 24 Aug 2005
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Hardback
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Differential Forms on Singular Varieties: De Rham and Hodge Theory Simplified uses complexes of differential forms to give a complete treatment of the Deligne theory of mixed Hodge structures on the cohomology of singular spaces. This book features an approach that employs recursive arguments on dimension and does not introduce spaces of higher dimension than the initial space. It simplifies the theory through easily identifiable and well-defined weight filtrations. It also avoids discussion of cohomological descent theory to maintain accessibility. Topics include classical Hodge theory, differential forms on complex spaces, and mixed Hodge structures on noncompact spaces.
Vincenzo Ancona, Bernard Gaveau
