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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 | ||
| ||
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 | ||
| ||
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
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||
| Cham [etc.], : Springer, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
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 |
14F08 - Derived categories of sheaves, dg categories, and related constructions in algebraic geometry [MSC 2020]
14J32 - Calabi-Yau manifolds (algebro-geometric aspects) [MSC 2020] 18G40 - Spectral sequences, hypercohomology [MSC 2020] 32C20 - Normal analytic spaces [MSC 2020] 32S35 - Mixed Hodge theory of singular varieties (complex-analytic aspects) [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-VAN00105335 |
|
Kirschner, Tim
|
||
| Cham [etc.], : Springer, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
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 | ||
| ||