Period mappings and period domains

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Period mappings and period domains / James Carlson, Stefan Müller-Stach, Chris Peters

資料種別:

図書

出版情報:

Cambridge : Cambridge University Press, 2003

形態:

xvi, 430 p., ill. ; 24 cm

シリーズ名:

Cambridge studies in advanced mathematics ; 85 <BA00109761>

著者名:

ISBN:

9780521814669 [0521814669]

書誌ID:

BA64055152

子書誌情報

フルテキスト

所蔵情報

他の版・巻

書誌詳細

注記:

Includes bibliographical references (p. 415-425) and index

主題:

Geometry, Algebraic; Hodge theory; Torelli theorem

言語:

英語

目次情報:

Basic Theory of the Period Map / Part I：

Introductory examples / 1：

Cohomology of compact KÃƒÃ±hler manifolds / 2：

Holomorphic invariants and cohomology / 3：

Cohomology of manifolds varying in a family / 4：

Period maps looked at infinitesimally / 5：

The Period Map: Algebraic Methods / Part II：

Spectral sequences / 6：

Koszul complexes and some applications / 7：

Further applications: Torelli theorems for hypersurfaces / 8：

Normal functions and their applications / 9：

Applications to algebraic cycles: Nori's theorem / 10：

Differential Geometric Methods / Part III：

Further differential geometric tools / 11：

Structure of period domains / 12：

Curvature estimates and applications / 13：

Harmonic maps and Hodge theory / 14：

Projective varieties and complex manifolds / Appendix A：

Homology and cohomology / Appendix B：

Vector bundles and Chern classes / Appendix C：

Basic Theory of the Period Map / Part I：

Introductory examples / 1：

Cohomology of compact KÃƒÃ±hler manifolds / 2：

Holomorphic invariants and cohomology / 3：

Cohomology of manifolds varying in a family / 4：

Period maps looked at infinitesimally / 5：

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