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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 genere / forma | Electronic books. |
| ISBN |
1-299-33300-1
1-4008-4601-3 |
| 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-9910465100703321 |
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-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 | ||
| ||
Automorphic forms and Shimura varieties of PGSp (2) [[electronic resource] /] / by Yuval Z. Flicker
| Automorphic forms and Shimura varieties of PGSp (2) [[electronic resource] /] / by Yuval Z. Flicker |
| Autore | Flicker Yuval Z (Yuval Zvi), <1955-> |
| Pubbl/distr/stampa | Hackensack, N.J., : World Scientific Publishing, c2005 |
| Descrizione fisica | 1 online resource (338 p.) |
| Disciplina | 515/.9 |
| Soggetto topico |
Automorphic forms
Shimura varieties |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-89926-7
9786611899264 981-270-332-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | PREFACE; ACKNOWLEDGMENT; CONTENTS; PART 1. LIFTING AUTOMORPHIC FORMS OF PGSp(2) TO PGL(4); I. PRELIMINARIES; II. BASIC FACTS; III. TRACE FORMULAE; IV. LIFTING FROM SO(4) TO PGL(4); V. LIFTING FROM PGSp(2) TO PGL(4); VI. FUNDAMENTAL LEMMA; PART 2. ZETA FUNCTIONS OF SHIMURA VARIETIES OF PGSp(2); I. PRELIMINARIES; II. AUTOMORPHIC REPRESENTATIONS; III. LOCAL TERMS; IV. REAL REPRESENTATIONS; V. GALOIS REPRESENTATIONS; PART 3. BACKGROUND; I. ON AUTOMORPHIC FORMS; II. ON ARTIN'S CONJECTURE; REFERENCES; INDEX; AUTOMORPHIC FORMS AND SHIMURA VARIETIES OF PGSp(2) |
| Record Nr. | UNINA-9910450692503321 |
|
Flicker Yuval Z (Yuval Zvi), <1955->
|
||
| Hackensack, N.J., : World Scientific Publishing, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Automorphic forms and Shimura varieties of PGSp (2) [[electronic resource] /] / by Yuval Z. Flicker
| Automorphic forms and Shimura varieties of PGSp (2) [[electronic resource] /] / by Yuval Z. Flicker |
| Autore | Flicker Yuval Z (Yuval Zvi), <1955-> |
| Pubbl/distr/stampa | Hackensack, N.J., : World Scientific Publishing, c2005 |
| Descrizione fisica | 1 online resource (338 p.) |
| Disciplina | 515/.9 |
| Soggetto topico |
Automorphic forms
Shimura varieties |
| ISBN |
1-281-89926-7
9786611899264 981-270-332-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | PREFACE; ACKNOWLEDGMENT; CONTENTS; PART 1. LIFTING AUTOMORPHIC FORMS OF PGSp(2) TO PGL(4); I. PRELIMINARIES; II. BASIC FACTS; III. TRACE FORMULAE; IV. LIFTING FROM SO(4) TO PGL(4); V. LIFTING FROM PGSp(2) TO PGL(4); VI. FUNDAMENTAL LEMMA; PART 2. ZETA FUNCTIONS OF SHIMURA VARIETIES OF PGSp(2); I. PRELIMINARIES; II. AUTOMORPHIC REPRESENTATIONS; III. LOCAL TERMS; IV. REAL REPRESENTATIONS; V. GALOIS REPRESENTATIONS; PART 3. BACKGROUND; I. ON AUTOMORPHIC FORMS; II. ON ARTIN'S CONJECTURE; REFERENCES; INDEX; AUTOMORPHIC FORMS AND SHIMURA VARIETIES OF PGSp(2) |
| Record Nr. | UNINA-9910783926903321 |
|
Flicker Yuval Z (Yuval Zvi), <1955->
|
||
| Hackensack, N.J., : World Scientific Publishing, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Automorphic forms and Shimura varieties of PGSp (2) [[electronic resource] /] / by Yuval Z. Flicker
| Automorphic forms and Shimura varieties of PGSp (2) [[electronic resource] /] / by Yuval Z. Flicker |
| Autore | Flicker Yuval Z (Yuval Zvi), <1955-> |
| Pubbl/distr/stampa | Hackensack, N.J., : World Scientific Publishing, c2005 |
| Descrizione fisica | 1 online resource (338 p.) |
| Disciplina | 515/.9 |
| Soggetto topico |
Automorphic forms
Shimura varieties |
| ISBN |
1-281-89926-7
9786611899264 981-270-332-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | PREFACE; ACKNOWLEDGMENT; CONTENTS; PART 1. LIFTING AUTOMORPHIC FORMS OF PGSp(2) TO PGL(4); I. PRELIMINARIES; II. BASIC FACTS; III. TRACE FORMULAE; IV. LIFTING FROM SO(4) TO PGL(4); V. LIFTING FROM PGSp(2) TO PGL(4); VI. FUNDAMENTAL LEMMA; PART 2. ZETA FUNCTIONS OF SHIMURA VARIETIES OF PGSp(2); I. PRELIMINARIES; II. AUTOMORPHIC REPRESENTATIONS; III. LOCAL TERMS; IV. REAL REPRESENTATIONS; V. GALOIS REPRESENTATIONS; PART 3. BACKGROUND; I. ON AUTOMORPHIC FORMS; II. ON ARTIN'S CONJECTURE; REFERENCES; INDEX; AUTOMORPHIC FORMS AND SHIMURA VARIETIES OF PGSp(2) |
| Record Nr. | UNINA-9910817990603321 |
|
Flicker Yuval Z (Yuval Zvi), <1955->
|
||
| Hackensack, N.J., : World Scientific Publishing, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Eisensteinkohomologie und die Konstruktion Gemischter Motive [e-book] / Günter Harder
| Eisensteinkohomologie und die Konstruktion Gemischter Motive [e-book] / Günter Harder |
| Autore | Harder, Günter |
| Pubbl/distr/stampa | New York : Springer1993 |
| Descrizione fisica | 1 online resource (xx, 184 p.) |
| Disciplina | 512.7 |
| Collana | Lecture notes in mathematics, 0075-8434 ; 1562 |
| Soggetto topico |
Shimura varieties
Automorphic forms L-functions |
| ISBN |
9783540481355
9783540574088 |
| Classificazione |
AMS 11F67
LC QA241-247.5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Die Beilinson-Deligne-Vermutungen ; Die Kohomologie von Shimura-Varietäten ; Die Beispiele ; Andersons gemischte Motive |
| Record Nr. | UNISALENTO-991002848909707536 |
|
Harder, Günter
|
||
| New York : Springer1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151), Volume 151 / / Richard Taylor, Michael Harris
| The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151), Volume 151 / / Richard Taylor, Michael Harris |
| Autore | Harris Michael |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2001] |
| Descrizione fisica | 1 online resource (288 p.) |
| Disciplina | 516.3/5 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Mathematics
Shimura varieties MATHEMATICS / Number Theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4008-3720-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Introduction -- Acknowledgements -- Chapter I. Preliminaries -- Chapter II. Barsotti-Tate groups -- Chapter III. Some simple Shimura varieties -- Chapter IV. Igusa varieties -- Chapter V. Counting Points -- Chapter VI. Automorphic forms -- Chapter VII. Applications -- Appendix. A result on vanishing cycles / Berkovich, V. G. -- Bibliography -- Index |
| Record Nr. | UNINA-9910465208903321 |
|
Harris Michael
|
||
| Princeton, NJ : , : Princeton University Press, , [2001] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151), Volume 151 / / Richard Taylor, Michael Harris
| The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151), Volume 151 / / Richard Taylor, Michael Harris |
| Autore | Harris Michael |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2001] |
| Descrizione fisica | 1 online resource (288 p.) |
| Disciplina | 516.3/5 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Mathematics
Shimura varieties MATHEMATICS / Number Theory |
| Soggetto non controllato |
Abelian variety
Absolute value Algebraic group Algebraically closed field Artinian Automorphic form Base change Bijection Canonical map Codimension Coefficient Cohomology Compactification (mathematics) Conjecture Corollary Dimension (vector space) Dimension Direct limit Division algebra Eigenvalues and eigenvectors Elliptic curve Embedding Equivalence class Equivalence of categories Existence theorem Field of fractions Finite field Function field Functor Galois cohomology Galois group Generic point Geometry Hasse invariant Infinitesimal character Integer Inverse system Isomorphism class Lie algebra Local class field theory Maximal torus Modular curve Moduli space Monic polynomial P-adic number Prime number Profinite group Residue field Ring of integers Separable extension Sheaf (mathematics) Shimura variety Simple group Special case Spectral sequence Square root Subset Tate module Theorem Transcendence degree Unitary group Valuative criterion Variable (mathematics) Vector space Weil group Weil pairing Zariski topology |
| ISBN | 1-4008-3720-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Introduction -- Acknowledgements -- Chapter I. Preliminaries -- Chapter II. Barsotti-Tate groups -- Chapter III. Some simple Shimura varieties -- Chapter IV. Igusa varieties -- Chapter V. Counting Points -- Chapter VI. Automorphic forms -- Chapter VII. Applications -- Appendix. A result on vanishing cycles / Berkovich, V. G. -- Bibliography -- Index |
| Record Nr. | UNINA-9910791960703321 |
|
Harris Michael
|
||
| Princeton, NJ : , : Princeton University Press, , [2001] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151), Volume 151 / / Richard Taylor, Michael Harris
| The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151), Volume 151 / / Richard Taylor, Michael Harris |
| Autore | Harris Michael |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2001] |
| Descrizione fisica | 1 online resource (288 p.) |
| Disciplina | 516.3/5 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Mathematics
Shimura varieties MATHEMATICS / Number Theory |
| Soggetto non controllato |
Abelian variety
Absolute value Algebraic group Algebraically closed field Artinian Automorphic form Base change Bijection Canonical map Codimension Coefficient Cohomology Compactification (mathematics) Conjecture Corollary Dimension (vector space) Dimension Direct limit Division algebra Eigenvalues and eigenvectors Elliptic curve Embedding Equivalence class Equivalence of categories Existence theorem Field of fractions Finite field Function field Functor Galois cohomology Galois group Generic point Geometry Hasse invariant Infinitesimal character Integer Inverse system Isomorphism class Lie algebra Local class field theory Maximal torus Modular curve Moduli space Monic polynomial P-adic number Prime number Profinite group Residue field Ring of integers Separable extension Sheaf (mathematics) Shimura variety Simple group Special case Spectral sequence Square root Subset Tate module Theorem Transcendence degree Unitary group Valuative criterion Variable (mathematics) Vector space Weil group Weil pairing Zariski topology |
| ISBN | 1-4008-3720-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Introduction -- Acknowledgements -- Chapter I. Preliminaries -- Chapter II. Barsotti-Tate groups -- Chapter III. Some simple Shimura varieties -- Chapter IV. Igusa varieties -- Chapter V. Counting Points -- Chapter VI. Automorphic forms -- Chapter VII. Applications -- Appendix. A result on vanishing cycles / Berkovich, V. G. -- Bibliography -- Index |
| Record Nr. | UNINA-9910814893103321 |
|
Harris Michael
|
||
| Princeton, NJ : , : Princeton University Press, , [2001] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
