Period Mappings and Period Domains

Name: Period Mappings and Period Domains
Availability: OutOfStock
ISBN: 9780521814669

ISBN-10: 0521814669

ISBN-13: 9780521814669

Edition: 2003

Authors: James Carlson, Chris Peters, Stefan Mï¿½ller-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.

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
Language: English

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




Basic Theory of the Period Map



Introductory examples



Cohomology of compact Kï¿½ï¿½hler 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