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Arithmetic compactifications of PEL-type Shimura varieties [[electronic resource] /] / Kai-Wen Lan
| Arithmetic compactifications of PEL-type Shimura varieties [[electronic resource] /] / Kai-Wen Lan |
| Autore | Lan Kai-Wen |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, NJ, : Princeton University Press, 2013 |
| Descrizione fisica | 1 online resource (588 p.) |
| Disciplina | 516.3/5 |
| Collana | London Mathematical Society monographs |
| Soggetto topico |
Shimura varieties
Arithmetical algebraic geometry |
| Soggetto non controllato |
FourierЊacobi expansions
Hecke actions Hermitian symmetric spaces KodairaГpencer morphisms Koecher's principle Langlands program Lie algebra conditions PEL structures PEL-type Shimura varieties PEL-type Shimura PEL-type structures Raynaud extensions Siegel moduli schemes Weil-pairing calculation abelian schemes abelian varieties algebraic stacks analysis arithmetic minimal compactifications arithmetic toroidal compactifications automorphic forms biextensions codimension counting compactifications complex abelian varieties cubical structures cusp labels deformation theory degeneration data degeneration theory degeneration dual abelian varieties dual objects endomorphism structures functoriality geometry good algebraic models isogeny classes isomorphism classes isomorphism level structures linear algebraic assumptions local moduli functors minimal compactifications modular curves moduli problems multiplicative type number theory polarized abelian schemes polarized abelian varieties prorepresentability reductive groups representability semi-abelian schemes tale topology toroidal compactifications toroidal embeddings torsors |
| ISBN |
1-299-33300-1
1-4008-4601-3 |
| Classificazione | SK 240 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Acknowledgments -- Introduction -- Chapter One. Definition of Moduli Problems -- Chapter Two. Representability of Moduli Problems -- Chapter Three. Structures of Semi-Abelian Schemes -- Chapter Four. Theory of Degeneration for Polarized Abelian Schemes -- Chapter Five. Degeneration Data for Additional Structures -- Chapter Six. Algebraic Constructions of Toroidal Compactifications -- Chapter Seven. Algebraic Constructions of Minimal Compactifications -- Appendix A. Algebraic Spaces and Algebraic Stacks -- Appendix B. Deformations and Artin's Criterion -- Bibliography -- Index |
| Record Nr. | UNINA-9910792045903321 |
Lan Kai-Wen
|
||
| Princeton, NJ, : Princeton University Press, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Arithmetic compactifications of PEL-type Shimura varieties [[electronic resource] /] / Kai-Wen Lan
| Arithmetic compactifications of PEL-type Shimura varieties [[electronic resource] /] / Kai-Wen Lan |
| Autore | Lan Kai-Wen |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, NJ, : Princeton University Press, 2013 |
| Descrizione fisica | 1 online resource (588 p.) |
| Disciplina | 516.3/5 |
| Collana | London Mathematical Society monographs |
| Soggetto topico |
Shimura varieties
Arithmetical algebraic geometry |
| Soggetto non controllato |
FourierЊacobi expansions
Hecke actions Hermitian symmetric spaces KodairaГpencer morphisms Koecher's principle Langlands program Lie algebra conditions PEL structures PEL-type Shimura varieties PEL-type Shimura PEL-type structures Raynaud extensions Siegel moduli schemes Weil-pairing calculation abelian schemes abelian varieties algebraic stacks analysis arithmetic minimal compactifications arithmetic toroidal compactifications automorphic forms biextensions codimension counting compactifications complex abelian varieties cubical structures cusp labels deformation theory degeneration data degeneration theory degeneration dual abelian varieties dual objects endomorphism structures functoriality geometry good algebraic models isogeny classes isomorphism classes isomorphism level structures linear algebraic assumptions local moduli functors minimal compactifications modular curves moduli problems multiplicative type number theory polarized abelian schemes polarized abelian varieties prorepresentability reductive groups representability semi-abelian schemes tale topology toroidal compactifications toroidal embeddings torsors |
| ISBN |
1-299-33300-1
1-4008-4601-3 |
| Classificazione | SK 240 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Acknowledgments -- Introduction -- Chapter One. Definition of Moduli Problems -- Chapter Two. Representability of Moduli Problems -- Chapter Three. Structures of Semi-Abelian Schemes -- Chapter Four. Theory of Degeneration for Polarized Abelian Schemes -- Chapter Five. Degeneration Data for Additional Structures -- Chapter Six. Algebraic Constructions of Toroidal Compactifications -- Chapter Seven. Algebraic Constructions of Minimal Compactifications -- Appendix A. Algebraic Spaces and Algebraic Stacks -- Appendix B. Deformations and Artin's Criterion -- Bibliography -- Index |
| Record Nr. | UNINA-9910816883003321 |
|
Lan Kai-Wen
|
||
| Princeton, NJ, : Princeton University Press, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Chow Rings, Decomposition of the Diagonal, and the Topology of Families (AM-187) / / Claire Voisin
| Chow Rings, Decomposition of the Diagonal, and the Topology of Families (AM-187) / / Claire Voisin |
| Autore | Voisin Claire |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2014] |
| Descrizione fisica | 1 online resource (172 p.) |
| Disciplina | 516.35 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Algebraic varieties
Decomposition (Mathematics) Homology theory Mathematics |
| Soggetto non controllato |
Bloch-Beilinson conjectures
CalabiЙau hypersurfaces Chow groups Hodge classes Hodge coniveau Hodge structures K3 surfaces Lefschetz standard conjecture Mumford's theorem Z-coefficients abelian varieties birational invariants cohomology complex algebraic varieties coniveau cycle classes decomposition isomorphism decomposition dense Zariski open set diagonal functoriality generalized Bloch conjecture generalized Hodge conjecture geometric coniveau hyper-Khler manifolds integral coefficients integral cohomological decomposition mixed Hodge structures projective space rational equivalence small diagonal smooth projective varieties spreading principle torsion coefficients transcendental cohomology unramified cohomology variety |
| ISBN | 1-4008-5053-3 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Chapter One. Introduction -- Chapter Two. Review of Hodge theory and algebraic cycles -- Chapter Three. Decomposition of the diagonal -- Chapter Four. Chow groups of large coniveau complete intersections -- Chapter Five. On the Chow ring of K3 surfaces and hyper-Kähler manifolds -- Chapter Six. Integral coefficients -- Bibliography -- Index |
| Record Nr. | UNINA-9910790854503321 |
|
Voisin Claire
|
||
| Princeton, NJ : , : Princeton University Press, , [2014] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Chow Rings, Decomposition of the Diagonal, and the Topology of Families (AM-187) / / Claire Voisin
| Chow Rings, Decomposition of the Diagonal, and the Topology of Families (AM-187) / / Claire Voisin |
| Autore | Voisin Claire |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2014] |
| Descrizione fisica | 1 online resource (172 p.) |
| Disciplina | 516.35 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Algebraic varieties
Decomposition (Mathematics) Homology theory Mathematics |
| Soggetto non controllato |
Bloch-Beilinson conjectures
CalabiЙau hypersurfaces Chow groups Hodge classes Hodge coniveau Hodge structures K3 surfaces Lefschetz standard conjecture Mumford's theorem Z-coefficients abelian varieties birational invariants cohomology complex algebraic varieties coniveau cycle classes decomposition isomorphism decomposition dense Zariski open set diagonal functoriality generalized Bloch conjecture generalized Hodge conjecture geometric coniveau hyper-Khler manifolds integral coefficients integral cohomological decomposition mixed Hodge structures projective space rational equivalence small diagonal smooth projective varieties spreading principle torsion coefficients transcendental cohomology unramified cohomology variety |
| ISBN | 1-4008-5053-3 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Chapter One. Introduction -- Chapter Two. Review of Hodge theory and algebraic cycles -- Chapter Three. Decomposition of the diagonal -- Chapter Four. Chow groups of large coniveau complete intersections -- Chapter Five. On the Chow ring of K3 surfaces and hyper-Kähler manifolds -- Chapter Six. Integral coefficients -- Bibliography -- Index |
| Record Nr. | UNINA-9910819930903321 |
|
Voisin Claire
|
||
| Princeton, NJ : , : Princeton University Press, , [2014] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Gross-Zagier formula on Shimura curves [[electronic resource] /] / Xinyi Yuan, Shou-wu Zhang, and Wei Zhang
| The Gross-Zagier formula on Shimura curves [[electronic resource] /] / Xinyi Yuan, Shou-wu Zhang, and Wei Zhang |
| Autore | Yuan Xinyi <1981-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, 2012, c2013 |
| Descrizione fisica | 1 online resource (267 p.) |
| Disciplina | 516.3/52 |
| Altri autori (Persone) |
ZhangShouwu
ZhangWei <1981-> |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Shimura varieties
Arithmetical algebraic geometry Automorphic forms Quaternions |
| Soggetto non controllato |
Arakelov theory
Benedict Gross Don Zagier EichlerГhimura theory Eisenstein series GrossКagier formula Heegner point Hodge bundle Hodge index theorem L-series MordellЗeil group NeronДate height RankinГelberg L-function Schwartz function Shimizu lifting Shimura curve Shimura curves SiegelЗeil formula Waldspurger formula Weil representation abelian varieties analytic kernel function analytic kernel degenerate Schwartz function discrete series generating series geometric kernel height series holomorphic kernel function holomorphic projection incoherent Eisenstein series incoherent automorphic representation incoherent quaternion algebra kernel function kernel identity local height modular curve modularity multiplicity function non-archimedean local field non-degenerate quadratic space ordinary component orthogonal space projector pull-back formula ramified quadratic extension supersingular component superspecial component theta function theta liftings theta series trace identity un-normalized kernel function unramified quadratic extension |
| ISBN |
9786613883919
1-4008-4564-5 1-283-57146-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. Introduction and Statement of Main Results -- Chapter Two. Weil Representation and Waldspurger Formula -- Chapter Three. Mordell-Weil Groups and Generating Series -- Chapter Four. Trace of the Generating Series -- Chapter Five. Assumptions on the Schwartz Function -- Chapter Six. Derivative of the Analytic Kernel -- Chapter Seven. Decomposition of the Geometric Kernel -- Chapter Eight. Local Heights of CM Points -- Bibliography -- Index |
| Record Nr. | UNINA-9910790961403321 |
|
Yuan Xinyi <1981->
|
||
| Princeton, : Princeton University Press, 2012, c2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Gross-Zagier formula on Shimura curves [[electronic resource] /] / Xinyi Yuan, Shou-wu Zhang, and Wei Zhang
| The Gross-Zagier formula on Shimura curves [[electronic resource] /] / Xinyi Yuan, Shou-wu Zhang, and Wei Zhang |
| Autore | Yuan Xinyi <1981-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, 2012, c2013 |
| Descrizione fisica | 1 online resource (267 p.) |
| Disciplina | 516.3/52 |
| Altri autori (Persone) |
ZhangShouwu
ZhangWei <1981-> |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Shimura varieties
Arithmetical algebraic geometry Automorphic forms Quaternions |
| Soggetto non controllato |
Arakelov theory
Benedict Gross Don Zagier EichlerГhimura theory Eisenstein series GrossКagier formula Heegner point Hodge bundle Hodge index theorem L-series MordellЗeil group NeronДate height RankinГelberg L-function Schwartz function Shimizu lifting Shimura curve Shimura curves SiegelЗeil formula Waldspurger formula Weil representation abelian varieties analytic kernel function analytic kernel degenerate Schwartz function discrete series generating series geometric kernel height series holomorphic kernel function holomorphic projection incoherent Eisenstein series incoherent automorphic representation incoherent quaternion algebra kernel function kernel identity local height modular curve modularity multiplicity function non-archimedean local field non-degenerate quadratic space ordinary component orthogonal space projector pull-back formula ramified quadratic extension supersingular component superspecial component theta function theta liftings theta series trace identity un-normalized kernel function unramified quadratic extension |
| ISBN |
9786613883919
1-4008-4564-5 1-283-57146-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. Introduction and Statement of Main Results -- Chapter Two. Weil Representation and Waldspurger Formula -- Chapter Three. Mordell-Weil Groups and Generating Series -- Chapter Four. Trace of the Generating Series -- Chapter Five. Assumptions on the Schwartz Function -- Chapter Six. Derivative of the Analytic Kernel -- Chapter Seven. Decomposition of the Geometric Kernel -- Chapter Eight. Local Heights of CM Points -- Bibliography -- Index |
| Record Nr. | UNINA-9910817785603321 |
|
Yuan Xinyi <1981->
|
||
| Princeton, : Princeton University Press, 2012, c2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||