Hodge theory

Hodge theory /

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Bibliographic Details
Corporate Author: Ebooks Corporation
Other Authors: Cattani, E. (Eduardo), 1946- (Editor), El Zein, Fouad (Editor), Griffiths, Phillip, 1938- (Editor), Lê, Dũng Tráng (Editor)
Format: Electronic eBook
Language:English
Published: Princeton, New Jersey : Princeton University Press, [2014]
Series:Mathematical notes (Princeton University Press) ; 49.
Subjects:
Manifolds (Mathematics) > Congresses.
Online Access:Connect to this title online (unlimited simultaneous users allowed; 325 uses per year)

MARC

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245 0 0 |a Hodge theory /  |c edited by Eduardo Cattani, Fouad El Zein, Phillip A. Griffiths, Lê Dũng Tráng. 
264 1 |a Princeton, New Jersey :  |b Princeton University Press,  |c [2014] 
264 4 |c ©2014 
300 |a 1 online resource (xvii, 589 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Mathematical Notes ;  |v 49 
500 |a "Between 14 June and 2 July 2010, the Summer School on Hodge Theory and Related Topics and a related conference were hosted by the ICTP in Trieste, Italy." 
500 |a "Based on lectures delivered at the 2010 Summer School on Hodge Theory at the ITCP in Trieste, Italy-- P. [4] of cover. 
533 |a Electronic reproduction.  |b Perth, W.A.  |n Available via World Wide Web. 
588 |a Description based on print version record. 
505 0 0 |a Machine generated contents note:   |g 1.1.  |t Complex Manifolds /  |r E. Cattani --   |g 1.1.1.  |t Definition and Examples /  |r E. Cattani --   |g 1.1.2.  |t Holomorphic Vector Bundles /  |r E. Cattani --   |g 1.2.  |t Differential Forms on Complex Manifolds /  |r E. Cattani --   |g 1.2.1.  |t Almost Complex Manifolds /  |r E. Cattani --   |g 1.2.2.  |t Tangent and Cotangent Space /  |r E. Cattani --   |g 1.2.3.  |t De Rham and Dolbeault Cohomologies /  |r E. Cattani --   |g 1.3.  |t Symplectic, Hermitian, and Kähler Structures /  |r E. Cattani --   |g 1.3.1.  |t Kähler Manifolds /  |r E. Cattani --   |g 1.3.2.  |t Chern Class of a Holomorphic Line Bundle /  |r E. Cattani --   |g 1.4.  |t Harmonic Forms[—]Hodge Theorem /  |r E. Cattani --   |g 1.4.1.  |t Compact Real Manifolds /  |r E. Cattani --   |g 1.4.2.  |t δ-Laplacian /  |r E. Cattani --   |g 1.5.  |t Cohomology of Compact Kähler Manifolds /  |r E. Cattani --   |g 1.5.1.  |t Kähler Identities /  |r E. Cattani --   |g 1.5.2.  |t Hodge Decomposition Theorem /  |r E. Cattani --   |g 1.5.3.  |t Lefschetz Theorems and Hodge[—]Riemann Bilinear Relations /  |r E. Cattani --   |g A.  |t Linear Algebra /  |r E. Cattani --   |g A.1.  |t Real and Complex Vector Spaces /  |r E. Cattani --   |g A.2.  |t Weight Filtration of a Nilpotent Transformation /  |r E. Cattani --   |g A.3.  |t Representations of sl(2, C) and Lefschetz Theorems /  |r E. Cattani --   |g A.4.  |t Hodge Structures /  |r E. Cattani --   |g B.  |t Kahler Identities by P.A. Griffiths /  |r E. Cattani --   |g B.1.  |t Symplectic Linear Algebra /  |r E. Cattani --   |g B.2.  |t Compatible Inner Products /  |r E. Cattani --   |g B.3.  |t Symplectic Manifolds /  |r E. Cattani --   |g B.4.  |t Kähler Identities /  |r E. Cattani --   |t Bibliography /  |r E. Cattani --   |t Introduction /  |r L. Tu /  |r F. El Zein --   |t Part I. Sheaf Cohomology, Hypercohomology, and the Projective Case /  |r L. Tu /  |r F. El Zein --   |g 2.1.  |t Sheaves /  |r L. Tu /  |r F. El Zein --   |g 2.1.1.  |t Étalé Space of a Presheaf /  |r L. Tu /  |r F. El Zein --   |g 2.1.2.  |t Exact Sequences of Sheaves /  |r L. Tu /  |r F. El Zein --   |g 2.1.3.  |t Resolutions /  |r L. Tu /  |r F. El Zein --   |g 2.2.  |t Sheaf Cohomology /  |r L. Tu /  |r F. El Zein --   |g 2.2.1.  |t Godement's Canonical Resolution /  |r L. Tu /  |r F. El Zein --   |g 2.2.2.  |t Cohomology with Coefficients in a Sheaf /  |r L. Tu /  |r F. El Zein --   |g 2.2.3.  |t Flasque Sheaves /  |r L. Tu /  |r F. El Zein --   |g 2.2.4.  |t Cohomology Sheaves and Exact Functors /  |r L. Tu /  |r F. El Zein --   |g 2.2.5.  |t Fine Sheaves /  |r L. Tu /  |r F. El Zein --   |g 2.2.6.  |t Cohomology with Coefficients in a Fine Sheaf /  |r L. Tu /  |r F. El Zein --   |g 2.3.  |t Coherent Sheaves and Serre's GAGA Principle /  |r L. Tu /  |r F. El Zein --   |g 2.4.  |t Hypercohomology of a Complex of Sheaves /  |r L. Tu /  |r F. El Zein --   |g 2.4.1.  |t Spectral Sequences of Hypercohomology /  |r L. Tu /  |r F. El Zein --   |g 2.4.2.  |t Acyclic Resolutions /  |r L. Tu /  |r F. El Zein --   |g 2.5.  |t Analytic de Rham Theorem /  |r L. Tu /  |r F. El Zein --   |g 2.5.1.  |t Holomorphic Poincare Lemma /  |r F. El Zein /  |r L. Tu --   |g 2.5.2.  |t Analytic de Rham Theorem /  |r L. Tu /  |r F. El Zein --   |g 2.6.  |t Algebraic de Rham Theorem for a Projective Variety /  |r L. Tu /  |r F. El Zein --   |t Part II. Cech Cohomology and the Algebraic de Rham Theorem in General /  |r L. Tu /  |r F. El Zein --   |g 2.7.  |t Cech Cohomology of a Sheaf /  |r L. Tu /  |r F. El Zein --   |g 2.7.1.  |t Cech Cohomology of an Open Cover /  |r L. Tu /  |r F. El Zein --   |g 2.7.2.  |t Relation Between Cech Cohomology and Sheaf Cohomology /  |r L. Tu /  |r F. El Zein --   |g 2.8.  |t tech Cohomology of a Complex of Sheaves /  |r L. Tu /  |r F. El Zein --   |g 2.8.1.  |t Relation Between Cech Cohomology and Hypercohomology /  |r L. Tu /  |r F. El Zein --   |g 2.9.  |t Reduction to the Affine Case /  |r L. Tu /  |r F. El Zein --   |g 2.9.1.  |t Proof that the General Case Implies the Affine Case /  |r L. Tu /  |r F. El Zein --   |g 2.9.2.  |t Proof that the Affine Case Implies the General Case /  |r L. Tu /  |r F. El Zein --   |g 2.10.  |t Algebraic de Rham Theorem for an Affine Variety /  |r L. Tu /  |r F. El Zein --   |g 2.10.1.  |t Hypercohomology of the Direct Image of a Sheaf of Smooth Forms /  |r L. Tu /  |r F. El Zein --   |g 2.10.2.  |t Hypercohomology of Rational and Meromorphic Forms /  |r L. Tu /  |r F. El Zein --   |g 2.10.3.  |t Comparison of Meromorphic and Smooth Forms /  |r L. Tu /  |r F. El Zein --   |t Bibliography /  |r L. Tu /  |r F. El Zein --   |g 3.1.  |t Hodge Structure on a Smooth Compact Complex Variety /  |r Lê D.T. /  |r F. El Zein --   |g 3.1.1.  |t Hodge Structure (HS) /  |r Lê D.T. /  |r F. El Zein --   |g 3.1.2.  |t Spectral Sequence of a Filtered Complex /  |r Lê D.T. /  |r F. El Zein --   |g 3.1.3.  |t Hodge Structure on the Cohomology of Nonsingular Compact Complex Algebraic Varieties /  |r Lê D.T. /  |r F. El Zein --   |g 3.1.4.  |t Lefschetz Decomposition and Polarized Hodge Structure /  |r Lê D.T. /  |r F. El Zein --   |g 3.1.5.  |t Examples /  |r Lê D.T. /  |r F. El Zein --   |g 3.1.6.  |t Cohomology Class of a Subvariety and Hodge Conjecture /  |r Lê D.T. /  |r F. El Zein --   |g 3.2.  |t Mixed Hodge Structures (MHS) /  |r Lê D.T. /  |r F. El Zein --   |g 3.2.1.  |t Filtrations /  |r Lê D.T. /  |r F. El Zein --   |g 3.2.2.  |t Mixed Hodge Structures (MHS) /  |r Lê D.T. /  |r F. El Zein --   |g 3.2.3.  |t Induced Filtrations on Spectral Sequences /  |r Lê D.T. /  |r F. El Zein --   |g 3.2.4.  |t MHS of a Normal Crossing Divisor (NCD) /  |r Lê D.T. /  |r F. El Zein --   |g 3.3.  |t Mixed Hodge Complex /  |r Lê D.T. /  |r F. El Zein --   |g 3.3.1.  |t Derived Category /  |r Lê D.T. /  |r F. El Zein --   |g 3.3.2.  |t Derived Functor on a Filtered Complex /  |r Lê D.T. /  |r F. El Zein --   |g 3.3.3.  |t Mixed Hodge Complex (MHC) /  |r Lê D.T. /  |r F. El Zein --   |g 3.3.4.  |t Relative Cohomology and the Mixed Cone /  |r Lê D.T. /  |r F. El Zein --   |g 3.4.  |t MHS on the Cohomology of a Complex Algebraic Variety /  |r Lê D.T. /  |r F. El Zein --   |g 3.4.1.  |t MHS on the Cohomology of Smooth Algebraic Varieties /  |r Lê D.T. /  |r F. El Zein --   |g 3.4.2.  |t MHS on Cohomology of Simplicial Varieties /  |r Lê D.T. /  |r F. El Zein --   |g 3.4.3.  |t MHS on the Cohomology of a Complete Embedded Algebraic Variety /  |r Lê D.T. /  |r F. El Zein --   |t Bibliography /  |r Lê D.T. /  |r F. El Zein --   |g 4.1.  |t Period Domains and Monodromy /  |r J. Carlson --   |g 4.2.  |t Elliptic Curves /  |r J. Carlson --   |g 4.3.  |t Period Mappings: An Example /  |r J. Carlson --   |g 4.4.  |t Hodge Structures of Weight 1 /  |r J. Carlson --   |g 4.5.  |t Hodge Structures of Weight 2 /  |r J. Carlson --   |g 4.6.  |t Poincare Residues /  |r J. Carlson --   |g 4.7.  |t Properties of the Period Mapping /  |r J. Carlson --   |g 4.8.  |t Jacobian Ideal and the Local Torelli Theorem /  |r J. Carlson --   |g 4.9.  |t Horizontal Distribution[—]Distance-Decreasing Properties /  |r J. Carlson --   |g 4.10.  |t Horizontal Distribution[—]Integral Manifolds /  |r J. Carlson --   |t Bibliography /  |r J. Carlson --   |g 5.1.  |t Lecture 1: The Smooth Case: E2-Degeneration /  |r L. Migliorini --   |g 5.2.  |t Lecture 2: Mixed Hodge Structures /  |r L. Migliorini --   |g 5.2.1.  |t Mixed Hodge Structures on the Cohomology of Algebraic Varieties /  |r L. Migliorini --   |g 5.2.2.  |t Global Invariant Cycle Theorem /  |r L. Migliorini --   |g 5.2.3.  |t Semisimplicity of Monodromy /  |r L. Migliorini --   |g 5.3.  |t Lecture 3: Two Classical Theorems on Surfaces and the Local Invariant Cycle Theorem /  |r L. Migliorini --   |g 5.3.1.  |t Homological Interpretation of the Contraction Criterion and Zariski's Lemma /  |r L. Migliorini --   |g 5.3.2.  |t Local Invariant Cycle Theorem, the Limit Mixed Hodge Structure, and the Clemens[—]Schmid Exact Sequence /  |r L. Migliorini --   |t Bibliography /  |r L. Migliorini --   |g 6.1.  |t Lecture 4 /  |r M.A. de Cataldo --   |g 6.1.1.  |t Sheaf Cohomology and All That (A Minimalist Approach) /  |r M.A. de Cataldo --   |g 6.1.2.  |t Intersection Cohomology Complex /  |r M.A. de Cataldo --   |g 6.1.3.  |t Verdier Duality /  |r M.A. de Cataldo --   |g 6.2.  |t Lecture 5 /  |r M.A. de Cataldo --   |g 6.2.1.  |t Decomposition Theorem (DT) /  |r M.A. de Cataldo --   |g 6.2.2.  |t Relative Hard Lefschetz and the Hard Lefschetz for Intersection Cohomology Groups /  |r M.A. de Cataldo --   |t Bibliography /  |r M.A. de Cataldo --   |g 7.1.  |t Local Systems and Flat Connections /  |r E. Cattani --   |g 7.1.1.  |t Local Systems /  |r E. Cattani --   |g 7.1.2.  |t Flat Bundles /  |r E. Cattani --   |g 7.2.  |t Analytic Families /  |r E. Cattani --   |g 7.2.1.  |t Kodaira[—]Spencer Map /  |r E. Cattani --   |g 7.3.  |t Variations of Hodge Structure /  |r E. Cattani --   |g 7.3.1.  |t Geometric Variations of Hodge Structure /  |r E. Cattani --   |g 7.3.2.  |t Abstract Variations of Hodge Structure /  |r E. Cattani --   |g 7.4.  |t Classifying Spaces /  |r E. Cattani --   |g 7.5.  |t Mixed Hodge Structures and the Orbit Theorems /  |r E. Cattani --   |g 7.5.1.  |t Nilpotent Orbits /  |r E. Cattani --   |g 7.5.2.  |t Mixed Hodge Structures /  |r E. Cattani --   |g 7.5.3.  |t SL2-Orbits /  |r E. Cattani --   |g 7.6.  |t Asymptotic Behavior of a Period Mapping /  |r E. Cattani --   |t Bibliography /  |r E. Cattani --   |g 8.1.  |t Variation of Mixed Hodge Structures /  |r P. Brosnan /  |r F. El Zein --   |g 8.1.1.  |t Local Systems and Representations of the Fundamental Group /  |r F. El Zein /  |r P. Brosnan --   |g 8.1.2.  |t Connections and Local Systems /  |r P. Brosnan /  |r F. El Zein --   |g 8.1.3.  |t Variation of Mixed Hodge Structure of Geometric Origin /  |r P. Brosnan /  |r F. El Zein --   |g 8.1.4.  |t Singularities of Local Systems /  |r P. Brosnan /  |r F. El Zein --   |g 8.2.  |t Degeneration of Variations of Mixed Hodge Structures /  |r F. El Zein /  |r P. Brosnan --   |g 8.2.1.  |t Diagonal Degeneration of Geometric VMHS /  |r F. El Zein /  |r P. Brosnan --   |g 8.2.2.  |t Filtered Mixed Hodge Complex (FMHC) /  |r P. Brosnan /  |r F. El Zein --   |g 8.2.3.  |t Diagonal Direct Image of a Simplicial Cohomological FMHC /  |r F. El Zein /  |r P. Brosnan --   |g 8.2.4.  |t Construction of a Limit MHS on the Unipotent Nearby Cycles /  |r P. Brosnan /  |r F. El Zein --   |g 8.2.5.  |t Case of a Smooth Morphism /  |r F. El Zein /  |r P. Brosnan --   |g 8.2.6.  |t Polarized Hodge[—]Lefschetz Structure /  |r P. Brosnan /  |r F. El Zein --   |g 8.2.7.  |t Quasi-projective Case /  |r F. El Zein /  |r P. Brosnan --   |g 8.2.8.  |t Alternative Construction, Existence and Uniqueness /  |r P. Brosnan /  |r F. El Zein --   |g 8.3.  |t Admissible Variation of Mixed Hodge Structure /  |r F. El Zein /  |r P. Brosnan --   |g 8.3.1.  |t Definition and Results /  |r P. Brosnan /  |r F. El Zein --   |g 8.3.2.  |t Local Study of Infinitesimal Mixed Hodge Structures After Kashiwara /  |r F. El Zein /  |r P. Brosnan --   |g 8.3.3.  |t Deligne[—]Hodge Theory on the Cohomology of a Smooth Variety /  |r P. Brosnan /  |r F. El Zein --   |g 8.4.  |t Admissible Normal Functions /  |r F. El Zein /  |r P. Brosnan -- 
505 0 0 |a Contents note continued:   |g 8.4.1.  |t Reducing Theorem 8.4.6 to a Special Case /  |r P. Brosnan /  |r F. El Zein --   |g 8.4.2.  |t Examples /  |r F. El Zein /  |r P. Brosnan --   |g 8.4.3.  |t Classifying Spaces /  |r P. Brosnan /  |r F. El Zein --   |g 8.4.4.  |t Pure Classifying Spaces /  |r F. El Zein /  |r P. Brosnan --   |g 8.4.5.  |t Mixed Classifying Spaces /  |r P. Brosnan /  |r F. El Zein --   |g 8.4.6.  |t Local Normal Form /  |r F. El Zein /  |r P. Brosnan --   |g 8.4.7.  |t Splittings /  |r P. Brosnan /  |r F. El Zein --   |g 8.4.8.  |t Formula for the Zero Locus of a Normal Function /  |r F. El Zein /  |r P. Brosnan --   |g 8.4.9.  |t Proof of Theorem 8.4.6 for Curves /  |r P. Brosnan /  |r F. El Zein --   |g 8.4.10.  |t Example /  |r F. El Zein /  |r P. Brosnan --   |t Bibliography /  |r F. El Zein /  |r P. Brosnan --   |g 9.1.  |t Lecture I: Algebraic Cycles. Chow Groups /  |r J. Murre --   |g 9.1.1.  |t Assumptions and Conventions /  |r J. Murre --   |g 9.1.2.  |t Algebraic Cycles /  |r J. Murre --   |g 9.1.3.  |t Adequate Equivalence Relations /  |r J. Murre --   |g 9.1.4.  |t Rational Equivalence. Chow Groups /  |r J. Murre --   |g 9.2.  |t Lecture II: Equivalence Relations. Short Survey on the Results for Divisors /  |r J. Murre --   |g 9.2.1.  |t Algebraic Equivalence (Weil, 1952) /  |r J. Murre --   |g 9.2.2.  |t Smash-Nilpotent Equivalence /  |r J. Murre --   |g 9.2.3.  |t Homological Equivalence /  |r J. Murre --   |g 9.2.4.  |t Numerical Equivalence /  |r J. Murre --   |g 9.2.5.  |t Final Remarks and Résumé of Relations and Notation /  |r J. Murre --   |g 9.2.6.  |t Cartier Divisors and the Picard Group /  |r J. Murre --   |g 9.2.7.  |t Résumé of the Main Facts for Divisors /  |r J. Murre --   |g 9.2.8.  |t References for Lectures I and II /  |r J. Murre --   |g 9.3.  |t Lecture III: Cycle Map. Intermediate Jacobian. Deligne Cohomology /  |r J. Murre --   |g 9.3.1.  |t Cycle Map /  |r J. Murre --   |g 9.3.2.  |t Hodge Classes. Hodge Conjecture /  |r J. Murre --   |g 9.3.3.  |t Intermediate Jacobian and Abel[—]Jacobi Map /  |r J. Murre --   |g 9.3.4.  |t Deligne Cohomology. Deligne Cycle Map /  |r J. Murre --   |g 9.3.5.  |t References for Lecture III /  |r J. Murre --   |g 9.4.  |t Lecture IV: Algebraic Versus Homological Equivalence. Griffiths Group /  |r J. Murre --   |g 9.4.1.  |t Lefschetz Theory /  |r J. Murre --   |g 9.4.2.  |t Return to the Griffiths Theorem /  |r J. Murre --   |g 9.4.3.  |t References for Lecture IV /  |r J. Murre --   |g 9.5.  |t Lecture V: The Albanese Kernel. Results of Mumford, Bloch, and Bloch[—]Srinivas /  |r J. Murre --   |g 9.5.1.  |t Result of Mumford /  |r J. Murre --   |g 9.5.2.  |t Reformulation and Generalization by Bloch /  |r J. Murre --   |g 9.5.3.  |t Result on the Diagonal /  |r J. Murre --   |g 9.5.4.  |t References for Lecture V /  |r J. Murre --   |t Bibliography /  |r J. Murre --   |g 10.1.  |t Introduction to Spreads /  |r M.L. Green --   |g 10.2.  |t Cycle Class and Spreads /  |r M.L. Green --   |g 10.3.  |t Conjectural Filtration on Chow Groups from a Spread Perspective /  |r M.L. Green --   |g 10.4.  |t Case of X Defined over Q /  |r M.L. Green --   |g 10.5.  |t Tangent Space to Algebraic Cycles /  |r M.L. Green --   |t Bibliography /  |r M.L. Green --   |g 11.1.  |t Algebraic de Rham Cohomology /  |r F. Charles /  |r C. Schnell --   |g 11.1.1.  |t Algebraic de Rham Cohomology /  |r F. Charles /  |r C. Schnell --   |g 11.1.2.  |t Cycle Classes /  |r C. Schnell /  |r F. Charles --   |g 11.2.  |t Absolute Hodge Classes /  |r F. Charles /  |r C. Schnell --   |g 11.2.1.  |t Algebraic Cycles and the Hodge Conjecture /  |r F. Charles /  |r C. Schnell --   |g 11.2.2.  |t Galois Action, Algebraic de Rham Cohomology, and Absolute Hodge Classes /  |r F. Charles /  |r C. Schnell --   |g 11.2.3.  |t Variations on the Definition and Some Functoriality Properties /  |r F. Charles /  |r C. Schnell --   |g 11.2.4.  |t Classes Coming from the Standard Conjectures and Polarizations /  |r F. Charles /  |r C. Schnell --   |g 11.2.5.  |t Absolute Hodge Classes and the Hodge Conjecture /  |r F. Charles /  |r C. Schnell --   |g 11.3.  |t Absolute Hodge Classes in Families /  |r F. Charles /  |r C. Schnell --   |g 11.3.1.  |t Variational Hodge Conjecture and the Global Invariant Cycle Theorem /  |r F. Charles /  |r C. Schnell --   |g 11.3.2.  |t Deligne's Principle B /  |r F. Charles /  |r C. Schnell --   |g 11.3.3.  |t Locus of Hodge Classes /  |r F. Charles /  |r C. Schnell --   |g 11.3.4.  |t Galois Action on Relative de Rham Cohomology /  |r F. Charles /  |r C. Schnell --   |g 11.3.5.  |t Field of Definition of the Locus of Hodge Classes /  |r F. Charles /  |r C. Schnell --   |g 11.4.  |t Kuga[—]Satake Construction /  |r F. Charles /  |r C. Schnell --   |g 11.4.1.  |t Recollection on Spin Groups /  |r F. Charles /  |r C. Schnell --   |g 11.4.2.  |t Spin Representations /  |r F. Charles /  |r C. Schnell --   |g 11.4.3.  |t Hodge Structures and the Deligne Torus /  |r F. Charles /  |r C. Schnell --   |g 11.4.4.  |t From Weight 2 to Weight 1 /  |r F. Charles /  |r C. Schnell --   |g 11.4.5.  |t Kuga[—]Satake Correspondence Is Absolute /  |r F. Charles /  |r C. Schnell --   |g 11.5.  |t Deligne's Theorem on Hodge Classes on Abelian Varieties /  |r F. Charles /  |r C. Schnell --   |g 11.5.1.  |t Overview /  |r F. Charles /  |r C. Schnell --   |g 11.5.2.  |t Hodge Structures of CM-Type /  |r F. Charles /  |r C. Schnell --   |g 11.5.3.  |t Reduction to Abelian Varieties of CM-Type /  |r F. Charles /  |r C. Schnell --   |g 11.5.4.  |t Background on Hermitian Forms /  |r F. Charles /  |r C. Schnell --   |g 11.5.5.  |t Construction of Split Weil Classes /  |r F. Charles /  |r C. Schnell --   |g 11.5.6.  |t Andre's Theorem and Reduction to Split Weil Classes /  |r F. Charles /  |r C. Schnell --   |g 11.5.7.  |t Split Weil Classes are Absolute /  |r F. Charles /  |r C. Schnell --   |t Bibliography /  |r F. Charles /  |r C. Schnell --   |g 12.1.  |t Hermitian Symmetric Domains /  |r M. Kerr --   |g A.  |t Algebraic Groups and Their Properties /  |r M. Kerr --   |g B.  |t Three Characterizations of Hermitian Symmetric Domains /  |r M. Kerr --   |g C.  |t Cartan's Classification of Irreducible Hermitian Symmetric Domains /  |r M. Kerr --   |g D.  |t Hodge-Theoretic Interpretation /  |r M. Kerr --   |g 12.2.  |t Locally Symmetric Varieties /  |r M. Kerr --   |g 12.3.  |t Complex Multiplication /  |r M. Kerr --   |g A.  |t CM-Abelian Varieties /  |r M. Kerr --   |g B.  |t Class Field Theory /  |r M. Kerr --   |g C.  |t Main Theorem of CM /  |r M. Kerr --   |g 12.4.  |t Shimura Varieties /  |r M. Kerr --   |g A.  |t Three Key Adélic Lemmas /  |r M. Kerr --   |g B.  |t Shimura Data /  |r M. Kerr --   |g C.  |t Adélic Reformulation /  |r M. Kerr --   |g D.  |t Examples /  |r M. Kerr --   |g 12.5.  |t Fields of Definition /  |r M. Kerr --   |g A.  |t Reflex Field of a Shimura Datum /  |r M. Kerr --   |g B.  |t Canonical Models /  |r M. Kerr --   |g C.  |t Connected Components and VHS /  |r M. Kerr --   |t Bibliography /  |r M. Kerr. 
504 |a Includes bibliographical references at the end of each chapters and index. 
650 0 |a Manifolds (Mathematics)  |v Congresses. 
700 1 |a Cattani, E.  |q (Eduardo),  |d 1946-  |e editor. 
700 1 |a El Zein, Fouad,  |e editor. 
700 1 |a Griffiths, Phillip,  |d 1938-  |e editor. 
700 1 |a Lê, Dũng Tráng,  |e editor. 
710 2 |a Ebooks Corporation 
776 0 8 |i Print version:  |a Summer School on Hodge Theory and Related Topics (2010 : International Centre for Theoretical Physics).  |t Hodge theory.  |d Princeton, New Jersey : Princeton University Press, [2014]  |z 9780691161341  |w (DLC) 2013953395 
830 0 |a Mathematical notes (Princeton University Press) ;  |v 49. 
856 4 0 |u https://ebookcentral.proquest.com/lib/santaclara/detail.action?docID=1642468  |z Connect to this title online (unlimited simultaneous users allowed; 325 uses per year)  |t 1 
907 |a .b26569863  |b 240617  |c 141204 
998 |a uww  |b    |c m  |d z   |e y  |f eng  |g nju  |h 0 
919 |a .ulebk  |b 2014-10-15 
915 |a YBP DDA - Also in ProQuest Academic Complete 
999 f f |i 66e45106-efd0-5346-9ae0-7fef02176515  |s 0e56c812-565c-527d-aa6e-75776ddc33d7  |t 1 

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