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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 | ||
| ||
Some Problems of Unlikely Intersections in Arithmetic and Geometry (AM-181) / / Umberto Zannier
| Some Problems of Unlikely Intersections in Arithmetic and Geometry (AM-181) / / Umberto Zannier |
| Autore | Zannier Umberto |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2012] |
| Descrizione fisica | 1 online resource (175 p.) |
| Disciplina | 516.35 |
| Altri autori (Persone) | MasserDavid |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Algebraic geometry
Algebraic varieties Geometry, Algebraic Intersection theory Intersection theory (Mathematics) Mathematics Physical Sciences & Mathematics Geometry |
| Soggetto non controllato |
AndrЏort conjecture
ManinЍumford conjecture ManinЍumford issue ManinЍumfordВaynaud Pila S. Lang Shimura varieties abelian analogue arithmetic arithmetical analogue elliptic surfaces modular curves multiplicative algebraic groups number fields roots of unity singular invariants tori torsion points unlikely intersections |
| ISBN |
1-283-45705-9
9786613457059 1-4008-4271-9 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Notation and Conventions -- Introduction: An Overview of Some Problems of Unlikely Intersections -- Chapter 1: Unlikely Intersections in Multiplicative Groups and the Zilber Conjecture -- Chapter 2: An Arithmetical Analogue -- Chapter 3 Unlikely Intersections in Elliptic Surfaces and Problems of Masser -- Chapter 4: About the André-Oort Conjecture -- Appendix A: Distribution of Rational Points on Subanalytic Surfaces / Zannier, Umberto -- Appendix B: Uniformity in Unlikely Intersections: An Example for Lines in Three Dimensions / Masser, David -- Appendix C: Silverman's Bounded Height Theorem for Elliptic Curves: A Direct Proof / Masser, David -- Appendix D: Lower Bounds for Degrees of Torsion Points: The Transcendence Approach / Masser, David -- Appendix E: A Transcendence Measure for a Quotient of Periods / Masser, David -- Appendix F: Counting Rational Points on Analytic Curves: A Transcendence Approach / Masser, David -- Appendix G: Mixed Problems: Another Approach / Masser, David -- Bibliography -- Index |
| Record Nr. | UNINA-9910778928303321 |
|
Zannier Umberto
|
||
| Princeton, NJ : , : Princeton University Press, , [2012] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Some Problems of Unlikely Intersections in Arithmetic and Geometry (AM-181) / / Umberto Zannier
| Some Problems of Unlikely Intersections in Arithmetic and Geometry (AM-181) / / Umberto Zannier |
| Autore | Zannier Umberto |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2012] |
| Descrizione fisica | 1 online resource (175 p.) |
| Disciplina | 516.35 |
| Altri autori (Persone) | MasserDavid |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Algebraic geometry
Algebraic varieties Geometry, Algebraic Intersection theory Intersection theory (Mathematics) Mathematics Physical Sciences & Mathematics Geometry |
| Soggetto non controllato |
AndrЏort conjecture
ManinЍumford conjecture ManinЍumford issue ManinЍumfordВaynaud Pila S. Lang Shimura varieties abelian analogue arithmetic arithmetical analogue elliptic surfaces modular curves multiplicative algebraic groups number fields roots of unity singular invariants tori torsion points unlikely intersections |
| ISBN |
1-283-45705-9
9786613457059 1-4008-4271-9 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Notation and Conventions -- Introduction: An Overview of Some Problems of Unlikely Intersections -- Chapter 1: Unlikely Intersections in Multiplicative Groups and the Zilber Conjecture -- Chapter 2: An Arithmetical Analogue -- Chapter 3 Unlikely Intersections in Elliptic Surfaces and Problems of Masser -- Chapter 4: About the André-Oort Conjecture -- Appendix A: Distribution of Rational Points on Subanalytic Surfaces / Zannier, Umberto -- Appendix B: Uniformity in Unlikely Intersections: An Example for Lines in Three Dimensions / Masser, David -- Appendix C: Silverman's Bounded Height Theorem for Elliptic Curves: A Direct Proof / Masser, David -- Appendix D: Lower Bounds for Degrees of Torsion Points: The Transcendence Approach / Masser, David -- Appendix E: A Transcendence Measure for a Quotient of Periods / Masser, David -- Appendix F: Counting Rational Points on Analytic Curves: A Transcendence Approach / Masser, David -- Appendix G: Mixed Problems: Another Approach / Masser, David -- Bibliography -- Index |
| Record Nr. | UNINA-9910820584003321 |
|
Zannier Umberto
|
||
| Princeton, NJ : , : Princeton University Press, , [2012] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||