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Period Mappings and Period Domains Book

Period Mappings and Period Domains
Period Mappings and Period Domains, The concept of a period of an elliptic integral goes back to the 18th century. Later Abel, Gauss, Jacobi, Legendre, Weierstrass and others made a systematic study of these integrals. Rephrased in modern terminology, these give a way to encode how the comp, Period Mappings and Period Domains has a rating of 4 stars
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Period Mappings and Period Domains, The concept of a period of an elliptic integral goes back to the 18th century. Later Abel, Gauss, Jacobi, Legendre, Weierstrass and others made a systematic study of these integrals. Rephrased in modern terminology, these give a way to encode how the comp, Period Mappings and Period Domains
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  • Period Mappings and Period Domains
  • Written by author James Carlson
  • Published by Cambridge University Press, October 2003
  • The concept of a period of an elliptic integral goes back to the 18th century. Later Abel, Gauss, Jacobi, Legendre, Weierstrass and others made a systematic study of these integrals. Rephrased in modern terminology, these give a way to encode how the comp
  • This book discusses the basic properties of period maps and period domains.
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Preface
Pt. IBasic Theory of the Period Map
1Introductory Examples3
2Cohomology of Compact Kahler Manifolds71
3Holomorphic Invariants and Cohomology94
4Cohomology of Manifolds Varying in a Family132
5Period Maps Looked at Infinitesimally159
Pt. IIThe Period Map: Algebraic Methods
6Spectral Sequences181
7Koszul Complexes and Some Applications193
8Further Applications: Torelli Theorems for Hypersurfaces218
9Normal Functions and Their Applications242
10Applications to Algebraic Cycles: Nori's Theorem265
Pt. IIIDifferential Geometric Methods
11Further Differential Geometric Tools303
12Structure of Period Domains319
13Curvature Estimates and Applications335
14Harmonic Maps and Hodge Theory359
App. AProjective Varieties and Complex Manifolds378
App. BHomology and Cohomology383
App. CVector Bundles and Chern Classes395
Bibliography415
Subject Index427


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Period Mappings and Period Domains, The concept of a period of an elliptic integral goes back to the 18th century. Later Abel, Gauss, Jacobi, Legendre, Weierstrass and others made a systematic study of these integrals. Rephrased in modern terminology, these give a way to encode how the comp, Period Mappings and Period Domains

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Period Mappings and Period Domains, The concept of a period of an elliptic integral goes back to the 18th century. Later Abel, Gauss, Jacobi, Legendre, Weierstrass and others made a systematic study of these integrals. Rephrased in modern terminology, these give a way to encode how the comp, Period Mappings and Period Domains

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Period Mappings and Period Domains, The concept of a period of an elliptic integral goes back to the 18th century. Later Abel, Gauss, Jacobi, Legendre, Weierstrass and others made a systematic study of these integrals. Rephrased in modern terminology, these give a way to encode how the comp, Period Mappings and Period Domains

Period Mappings and Period Domains

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