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Hodge theory / / edited by Eduardo Cattani [and three others] ; Patrick Brosnan [and thirteen others], contributors
Hodge theory / / edited by Eduardo Cattani [and three others] ; Patrick Brosnan [and thirteen others], contributors
Autore Cattani Eduardo
Edizione [Course Book]
Pubbl/distr/stampa Princeton, New Jersey : , : Princeton University Press, , 2014
Descrizione fisica 1 online resource (608 p.)
Disciplina 514.223
Collana Mathematical Notes
Soggetto topico Manifolds (Mathematics)
Soggetto non controllato Abel–Jacobi map
Adélic lemmas
Albanese kernel
Bloch–Beilinson conjecture
Chow groups
Decomposition theorem
Deligne cohomology
Deligne's theorem
Galois action
Griffiths group
Griffiths' period map
Grothendieck's theorem
Hermitian structures
Hermitian symmetric domains
Hodge bundles
Hodge cycles
Hodge structure
Hodge structures
Hodge theory
Hodge-theoretic interpretations
Jacobian ideal
Kodaira–Spencer map
Kuga–Satake correspondence
Kähler manifolds
Kähler structures
Lefschetz decomposition
Poincaré residues
Schmid's orbit theorems
Shimura varieties
Thom–Whitney results
Torelli theorem
Verdier duality
absolute Hodge classes
abstract variations
algebraic cycles
algebraic equivalence
algebraic homology
algebraic maps
algebraic varieties
algebraicity
asymptotic behavior
coherent sheaves
cohomology
compact Kähler manifolds
complex manifolds
complex multiplication
conjectural filtration
contemporary mathematics
cycle class
cycle map
de Rham cohomology
de Rham theorem
differential forms
elliptic curves
equivalence relations
harmonic forms
holomorphicity
homological equivalence
horizontal distribution
horizontality
hypercohomology
hypersurfaces
intersection cohomology complex
intersection cohomology groups
invariant cycle theorem
linear algebra
local systems
mixed Hodge complex
mixed Hodge structure
mixed Hodge structures
monodromy
morphisms
nontrivial topological constraints
normal functions
period domains
period mappings
sheaf cohomology
smooth case
smooth projective varieties
spectral sequences
spread philosophy
spreads
symplectic structures
tangent space
topological invariants
variational Hodge conjecture
Čech cohomology
ISBN 1-4008-5147-5
Classificazione SI 850
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Contributors -- Contents -- Preface -- Chapter One. Introduction to Kähler Manifolds / Cattani, Eduardo -- Chapter Two. From Sheaf Cohomology to the Algebraic de Rham Theorem / El Zein, Fouad / Tu, Loring W. -- Chapter Three. Mixed Hodge Structures / Zein, Fouad El / Tráng, Lê Dũng -- Chapter Four. Period Domains and Period Mappings / Carlson, James -- Chapter Five. The Hodge Theory of Maps / Cataldo, Mark Andrea de / Migliorini, Luca -- Chapter Six The Hodge Theory of Maps / Cataldo, Mark Andrea de / Migliorini, Luca -- Chapter Seven. Introduction to Variations of Hodge Structure / Cattani, Eduardo -- Chapter Eight. Variations of Mixed Hodge Structure / Brosnan, Patrick / Zein, Fouad El -- Chapter Nine. Lectures on Algebraic Cycles and Chow Groups / Murre, Jacob -- Chapter Ten. The Spread Philosophy in the Study of Algebraic Cycles / Green, Mark L. -- Chapter Eleven. Notes on Absolute Hodge Classes / Charles, François / Schnell, Christian -- Chapter Twelve. Shimura Varieties: A Hodge-Theoretic Perspective / Kerr, Matt -- Bibliography -- Index
Record Nr. UNINA-9910786461403321
Cattani Eduardo  
Princeton, New Jersey : , : Princeton University Press, , 2014
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Hodge theory / / edited by Eduardo Cattani [and three others] ; Patrick Brosnan [and thirteen others], contributors
Hodge theory / / edited by Eduardo Cattani [and three others] ; Patrick Brosnan [and thirteen others], contributors
Autore Cattani Eduardo
Edizione [Course Book]
Pubbl/distr/stampa Princeton, New Jersey : , : Princeton University Press, , 2014
Descrizione fisica 1 online resource (608 p.)
Disciplina 514.223
Collana Mathematical Notes
Soggetto topico Manifolds (Mathematics)
Soggetto non controllato Abel–Jacobi map
Adélic lemmas
Albanese kernel
Bloch–Beilinson conjecture
Chow groups
Decomposition theorem
Deligne cohomology
Deligne's theorem
Galois action
Griffiths group
Griffiths' period map
Grothendieck's theorem
Hermitian structures
Hermitian symmetric domains
Hodge bundles
Hodge cycles
Hodge structure
Hodge structures
Hodge theory
Hodge-theoretic interpretations
Jacobian ideal
Kodaira–Spencer map
Kuga–Satake correspondence
Kähler manifolds
Kähler structures
Lefschetz decomposition
Poincaré residues
Schmid's orbit theorems
Shimura varieties
Thom–Whitney results
Torelli theorem
Verdier duality
absolute Hodge classes
abstract variations
algebraic cycles
algebraic equivalence
algebraic homology
algebraic maps
algebraic varieties
algebraicity
asymptotic behavior
coherent sheaves
cohomology
compact Kähler manifolds
complex manifolds
complex multiplication
conjectural filtration
contemporary mathematics
cycle class
cycle map
de Rham cohomology
de Rham theorem
differential forms
elliptic curves
equivalence relations
harmonic forms
holomorphicity
homological equivalence
horizontal distribution
horizontality
hypercohomology
hypersurfaces
intersection cohomology complex
intersection cohomology groups
invariant cycle theorem
linear algebra
local systems
mixed Hodge complex
mixed Hodge structure
mixed Hodge structures
monodromy
morphisms
nontrivial topological constraints
normal functions
period domains
period mappings
sheaf cohomology
smooth case
smooth projective varieties
spectral sequences
spread philosophy
spreads
symplectic structures
tangent space
topological invariants
variational Hodge conjecture
Čech cohomology
ISBN 1-4008-5147-5
Classificazione SI 850
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Contributors -- Contents -- Preface -- Chapter One. Introduction to Kähler Manifolds / Cattani, Eduardo -- Chapter Two. From Sheaf Cohomology to the Algebraic de Rham Theorem / El Zein, Fouad / Tu, Loring W. -- Chapter Three. Mixed Hodge Structures / Zein, Fouad El / Tráng, Lê Dũng -- Chapter Four. Period Domains and Period Mappings / Carlson, James -- Chapter Five. The Hodge Theory of Maps / Cataldo, Mark Andrea de / Migliorini, Luca -- Chapter Six The Hodge Theory of Maps / Cataldo, Mark Andrea de / Migliorini, Luca -- Chapter Seven. Introduction to Variations of Hodge Structure / Cattani, Eduardo -- Chapter Eight. Variations of Mixed Hodge Structure / Brosnan, Patrick / Zein, Fouad El -- Chapter Nine. Lectures on Algebraic Cycles and Chow Groups / Murre, Jacob -- Chapter Ten. The Spread Philosophy in the Study of Algebraic Cycles / Green, Mark L. -- Chapter Eleven. Notes on Absolute Hodge Classes / Charles, François / Schnell, Christian -- Chapter Twelve. Shimura Varieties: A Hodge-Theoretic Perspective / Kerr, Matt -- Bibliography -- Index
Record Nr. UNINA-9910817118803321
Cattani Eduardo  
Princeton, New Jersey : , : Princeton University Press, , 2014
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Period mappings with applications to symplectic complex spaces / Tim Kirschner
Period mappings with applications to symplectic complex spaces / Tim Kirschner
Autore Kirschner, Tim
Pubbl/distr/stampa Cham [etc.], : Springer, 2015
Descrizione fisica XVIII, 275 p. ; 24 cm
Soggetto topico 18G40 - Spectral sequences, hypercohomology [MSC 2020]
14J32 - Calabi-Yau manifolds (algebro-geometric aspects) [MSC 2020]
32S35 - Mixed Hodge theory of singular varieties (complex-analytic aspects) [MSC 2020]
14F08 - Derived categories of sheaves, dg categories, and related constructions in algebraic geometry [MSC 2020]
32C20 - Normal analytic spaces [MSC 2020]
Soggetto non controllato Frölicher spectral sequence
Gauss-Manin connection
Period mapping
Symplectic variety
Torelli theorem
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Titolo uniforme
Record Nr. UNICAMPANIA-VAN0105335
Kirschner, Tim  
Cham [etc.], : Springer, 2015
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui
Topics in Transcendental Algebraic Geometry. (AM-106), Volume 106 / / Phillip A. Griffiths
Topics in Transcendental Algebraic Geometry. (AM-106), Volume 106 / / Phillip A. Griffiths
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (328 pages) : illustrations
Disciplina 512/.33
Collana Annals of Mathematics Studies
Soggetto topico Geometry, Algebraic
Hodge theory
Torelli theorem
Soggetto non controllato Abelian integral
Algebraic curve
Algebraic cycle
Algebraic equation
Algebraic geometry
Algebraic integer
Algebraic structure
Algebraic surface
Arithmetic genus
Arithmetic group
Asymptotic analysis
Automorphism
Base change
Bilinear form
Bilinear map
Cohomology
Combinatorics
Commutative diagram
Compactification (mathematics)
Complete intersection
Complex manifold
Complex number
Computation
Deformation theory
Degeneracy (mathematics)
Differentiable manifold
Dimension (vector space)
Divisor (algebraic geometry)
Divisor
Elliptic curve
Elliptic surface
Equation
Exact sequence
Fiber bundle
Function (mathematics)
Fundamental class
Geometric genus
Geometry
Hermitian symmetric space
Hodge structure
Hodge theory
Homology (mathematics)
Homomorphism
Homotopy
Hypersurface
Intersection form (4-manifold)
Intersection number
Irreducibility (mathematics)
Isomorphism class
Jacobian variety
K3 surface
Kodaira dimension
Kronecker's theorem
Kummer surface
Kähler manifold
Lie algebra bundle
Lie algebra
Linear algebra
Linear algebraic group
Line–line intersection
Mathematical induction
Mathematical proof
Mathematics
Modular arithmetic
Module (mathematics)
Moduli space
Monodromy matrix
Monodromy theorem
Monodromy
Nilpotent orbit
Normal function
Open set
Period mapping
Permutation group
Phillip Griffiths
Point at infinity
Pole (complex analysis)
Polynomial
Projective space
Pullback (category theory)
Quadric
Regular singular point
Resolution of singularities
Riemann–Roch theorem for surfaces
Scientific notation
Set (mathematics)
Special case
Spectral sequence
Subgroup
Submanifold
Surface of general type
Surjective function
Tangent bundle
Theorem
Topology
Torelli theorem
Transcendental number
Vector space
Zariski topology
Zariski's main theorem
ISBN 1-4008-8165-X
Classificazione SK 240
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Table of Contents -- INTRODUCTION / Griffiths, Phillip -- Chapter I. VARIATION OF HODGE STRUCTURE / Griffiths, Phillip / Tu, Loring -- Chapter II. CURVATURE PROPERTIES OF THE HODGE BUNDLES / Griffiths, Phillip / Tu, Loring -- Chapter III. INFINITESIMAL VARIATION OF HODGE STRUCTURE / Griffiths, Phillip / Tu, Loring -- Chapter IV. ASYMPTOTIC BEHAVIOR OF A VARIATION OF HODGE STRUCTURE / Griffiths, Phillip / Tu, Loring -- Chapter V. MIXED HODGE STRUCTURES, COMPACTIFICATIONS AND MONODROMY WEIGHT FILTRATION / Cattani, Eduardo H. -- Chapter VI. THE CLEMENS-SCHMID EXACT SEQUENCE AND APPLICATIONS / Morrison, David R. -- Chapter VII DEGENERATION OF HODGE BUNDLES (AFTER STEENBRINK) / Zucker, Steven -- Chapter VIII. INFINITESIMAL TORELLI THEOREMS AND COUNTEREXAMPLES TO TORELLI PROBLEMS / Catanese, Fabrizio M.E. -- Chapter IX. THE TORELLI PROBLEM FOR ELLIPTIC PENCILS / Chakiris, Ken -- Chapter X. THE PERIOD MAP AT THE BOUNDARY OF MODULI / Friedman, Robert -- Chapter XI. THE GENERIC TORELLI PROBLEM FOR PRYM VARIETIES AND INTERSECTIONS OF THREE QUADRICS / Smith, Roy -- Chapter XII. INFINITESIMAL VARIATION OF HODGE STRUCTURE AND THE GENERIC GLOBAL TORELLI THEOREM / Griffiths, Phillip / Tu, Loring -- Chapter XIII. GENERIC TORELLI AND VARIATIONAL SCHOTTKY / Donagi, Ron -- Chapter XIV. INTERMEDIATE JACOBIANS AND NORMAL FUNCTIONS / Zucker, Steven -- Chapter XV. EXTENDABILITY OF NORMAL FUNCTIONS ASSOCIATED TO ALGEBRAIC CYCLES / Zein, Fouad El / Zucker, Steven -- Chapter XVI. SOME RESULTS ABOUT ABEL-JACOBI MAPPINGS / Clemens, Herbert -- Chapter XVII. INFINITESIMAL INVARIANT OF NORMAL FUNCTIONS / Griffiths, Phillip -- Backmatter
Record Nr. UNINA-9910154742603321
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui