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Period Mappings and Period Domains

ISBN-10: 0521814669

ISBN-13: 9780521814669

Edition: 2003

Authors: James Carlson, Chris Peters, Stefan M�ller-Stach

List price: $155.00
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Description:

The authors look at the theories of Torelli, Hodge and Griffiths to look at period mapping and period domains.
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Book details

List price: $155.00
Copyright year: 2003
Publisher: Cambridge University Press
Publication date: 10/20/2003
Binding: Hardcover
Pages: 448
Size: 9.25" wide x 6.25" long x 1.00" tall
Weight: 1.606

Chris Peters is a Professor at Institut Fourier, Universite Grenoble 1.

Basic Theory of the Period Map
Introductory examples
Cohomology of compact K��hler manifolds
Holomorphic invariants and cohomology
Cohomology of manifolds varying in a family
Period maps looked at infinitesimally
The Period Map: Algebraic Methods
Spectral sequences
Koszul complexes and some applications
Further applications: Torelli theorems for hypersurfaces
Normal functions and their applications
Applications to algebraic cycles: Nori's theorem
Differential Geometric Methods
Further differential geometric tools
Structure of period domains
Curvature estimates and applications
Harmonic maps and Hodge theory
Projective varieties and complex manifolds
Homology and cohomology
Vector bundles and Chern classes