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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 | ||
| ||
Non-archimedean tame topology and stably dominated types / / Ehud Hrushovski, François Loeser
| Non-archimedean tame topology and stably dominated types / / Ehud Hrushovski, François Loeser |
| Autore | Hrushovski Ehud |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxford, [England] : , : Princeton University Press, , 2016 |
| Descrizione fisica | 1 online resource (227 p.) |
| Disciplina | 512.4 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Tame algebras |
| Soggetto non controllato |
Abhyankar property
Berkovich space Galois orbit Riemann-Roch Zariski dense open set Zariski open subset Zariski topology algebraic geometry algebraic variety algebraically closed valued field analytic geometry birational invariant canonical extension connectedness continuity criteria continuous definable map continuous map curve fibration definable compactness definable function definable homotopy type definable set definable space definable subset definable topological space definable topology definable type definably compact set deformation retraction finite simplicial complex finite-dimensional vector space forward-branching point fundamental space g-continuity g-continuous g-open set germ good metric homotopy equivalence homotopy imaginary base set ind-definable set ind-definable subset inflation homotopy inflation inverse limit iso-definability iso-definable set iso-definable subset iterated place linear topology main theorem model theory morphism natural functor non-archimedean geometry non-archimedean tame topology o-minimal formulation o-minimality orthogonality path pro-definable bijection pro-definable map pro-definable set pro-definable subset pseudo-Galois covering real numbers relatively compact set residue field extension retraction schematic distance semi-lattice sequence smooth case smoothness stability theory stable completion stable domination stably dominated point stably dominated type stably dominated strong stability substructure topological embedding topological space topological structure topology transcendence degree v-continuity valued field Γ-internal set Γ-internal space Γ-internal subset |
| ISBN | 1-4008-8122-6 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- 1. Introduction -- 2. Preliminaries -- 3. The space v̂ of stably dominated types -- 4. Definable compactness -- 5. A closer look at the stable completion -- 6. Γ-internal spaces -- 7. Curves -- 8. Strongly stably dominated points -- 9. Specializations and ACV2F -- 10. Continuity of homotopies -- 11. The main theorem -- 12. The smooth case -- 13. An equivalence of categories -- 14. Applications to the topology of Berkovich spaces -- Bibliography -- Index -- List of notations |
| Record Nr. | UNINA-9910797708403321 |
|
Hrushovski Ehud
|
||
| Princeton, New Jersey ; ; Oxford, [England] : , : Princeton University Press, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Non-archimedean tame topology and stably dominated types / / Ehud Hrushovski, François Loeser
| Non-archimedean tame topology and stably dominated types / / Ehud Hrushovski, François Loeser |
| Autore | Hrushovski Ehud |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxford, [England] : , : Princeton University Press, , 2016 |
| Descrizione fisica | 1 online resource (227 p.) |
| Disciplina | 512.4 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Tame algebras |
| Soggetto non controllato |
Abhyankar property
Berkovich space Galois orbit Riemann-Roch Zariski dense open set Zariski open subset Zariski topology algebraic geometry algebraic variety algebraically closed valued field analytic geometry birational invariant canonical extension connectedness continuity criteria continuous definable map continuous map curve fibration definable compactness definable function definable homotopy type definable set definable space definable subset definable topological space definable topology definable type definably compact set deformation retraction finite simplicial complex finite-dimensional vector space forward-branching point fundamental space g-continuity g-continuous g-open set germ good metric homotopy equivalence homotopy imaginary base set ind-definable set ind-definable subset inflation homotopy inflation inverse limit iso-definability iso-definable set iso-definable subset iterated place linear topology main theorem model theory morphism natural functor non-archimedean geometry non-archimedean tame topology o-minimal formulation o-minimality orthogonality path pro-definable bijection pro-definable map pro-definable set pro-definable subset pseudo-Galois covering real numbers relatively compact set residue field extension retraction schematic distance semi-lattice sequence smooth case smoothness stability theory stable completion stable domination stably dominated point stably dominated type stably dominated strong stability substructure topological embedding topological space topological structure topology transcendence degree v-continuity valued field Γ-internal set Γ-internal space Γ-internal subset |
| ISBN | 1-4008-8122-6 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- 1. Introduction -- 2. Preliminaries -- 3. The space v̂ of stably dominated types -- 4. Definable compactness -- 5. A closer look at the stable completion -- 6. Γ-internal spaces -- 7. Curves -- 8. Strongly stably dominated points -- 9. Specializations and ACV2F -- 10. Continuity of homotopies -- 11. The main theorem -- 12. The smooth case -- 13. An equivalence of categories -- 14. Applications to the topology of Berkovich spaces -- Bibliography -- Index -- List of notations |
| Record Nr. | UNINA-9910822032303321 |
|
Hrushovski Ehud
|
||
| Princeton, New Jersey ; ; Oxford, [England] : , : Princeton University Press, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||