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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 |
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Lan Kai-Wen
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||
| Princeton, NJ, : Princeton University Press, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Classification of pseudo-reductive groups / / Brian Conrad, Gopal Prasad
| Classification of pseudo-reductive groups / / Brian Conrad, Gopal Prasad |
| Autore | Conrad Brian <1970-> |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxford, England : , : Princeton University Press, , 2016 |
| Descrizione fisica | 1 online resource (256 p.) |
| Disciplina | 512/.55 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Linear algebraic groups
Group theory Geometry, Algebraic |
| Soggetto non controllato |
"ient homomorphism
Cartan k-subgroup Dynkin diagram Isogeny Theorem Isomorphism Theorem Levi subgroup SeveriЂrauer variety Tits classification Tits-style classification Weil restriction algebraic geometry automorphism functor automorphism scheme automorphism canonical central extensions central "ient central extension characteristic 2. conformal isometry degenerate quadratic form double bond exotic construction field-theoretic invariant generalized exotic group generalized standard group generalized standard presentation generalized standard isomorphism class isomorphism isotropic group k-tame central extension linear isomorphism linear-algebraic invariant maximal torus minimal type non-reduced root system number theory pseudo-isogeny pseudo-reductive group pseudo-semisimple group pseudo-simple group pseudo-simple k-group pseudo-split form pseudo-split quadratic space quadrics rank-1 rank-2 rigidity property root field root system scheme-theoretic center semisimple "ient semisimple k-group structure theorem |
| ISBN | 1-4008-7402-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- 1. Introduction -- 2. Preliminary notions -- 3. Field-theoretic and linear-algebraic invariants -- 4. Central extensions and groups locally of minimal type -- 5. Universal smooth k-tame central extension -- 6. Automorphisms, isomorphisms, and Tits classification -- 7. Constructions with regular degenerate quadratic forms -- 8. Constructions when Φ has a double bond -- 9. Generalization of the standard construction -- A. Pseudo-isogenies -- B. Clifford constructions -- C. Pseudo-split and quasi-split forms -- D. Basic exotic groups of type F4 of relative rank 2 -- Bibliography -- Index |
| Record Nr. | UNINA-9910797511403321 |
|
Conrad Brian <1970->
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| Princeton, New Jersey ; ; Oxford, England : , : Princeton University Press, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Classification of pseudo-reductive groups / / Brian Conrad, Gopal Prasad
| Classification of pseudo-reductive groups / / Brian Conrad, Gopal Prasad |
| Autore | Conrad Brian <1970-> |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxford, England : , : Princeton University Press, , 2016 |
| Descrizione fisica | 1 online resource (256 p.) |
| Disciplina | 512/.55 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Linear algebraic groups
Group theory Geometry, Algebraic |
| Soggetto non controllato |
"ient homomorphism
Cartan k-subgroup Dynkin diagram Isogeny Theorem Isomorphism Theorem Levi subgroup SeveriЂrauer variety Tits classification Tits-style classification Weil restriction algebraic geometry automorphism functor automorphism scheme automorphism canonical central extensions central "ient central extension characteristic 2. conformal isometry degenerate quadratic form double bond exotic construction field-theoretic invariant generalized exotic group generalized standard group generalized standard presentation generalized standard isomorphism class isomorphism isotropic group k-tame central extension linear isomorphism linear-algebraic invariant maximal torus minimal type non-reduced root system number theory pseudo-isogeny pseudo-reductive group pseudo-semisimple group pseudo-simple group pseudo-simple k-group pseudo-split form pseudo-split quadratic space quadrics rank-1 rank-2 rigidity property root field root system scheme-theoretic center semisimple "ient semisimple k-group structure theorem |
| ISBN | 1-4008-7402-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- 1. Introduction -- 2. Preliminary notions -- 3. Field-theoretic and linear-algebraic invariants -- 4. Central extensions and groups locally of minimal type -- 5. Universal smooth k-tame central extension -- 6. Automorphisms, isomorphisms, and Tits classification -- 7. Constructions with regular degenerate quadratic forms -- 8. Constructions when Φ has a double bond -- 9. Generalization of the standard construction -- A. Pseudo-isogenies -- B. Clifford constructions -- C. Pseudo-split and quasi-split forms -- D. Basic exotic groups of type F4 of relative rank 2 -- Bibliography -- Index |
| Record Nr. | UNINA-9910813208303321 |
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Conrad Brian <1970->
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| Princeton, New Jersey ; ; Oxford, England : , : Princeton University Press, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Convolution and equidistribution [[electronic resource] ] : Sato-Tate theorems for finite-field Mellin transforms / / Nicholas M. Katz
| Convolution and equidistribution [[electronic resource] ] : Sato-Tate theorems for finite-field Mellin transforms / / Nicholas M. Katz |
| Autore | Katz Nicholas M. <1943-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton ; ; Oxford, : Princeton University Press, c2012 |
| Descrizione fisica | 1 online resource (213 p.) |
| Disciplina | 515/.723 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Mellin transform
Convolutions (Mathematics) Sequences (Mathematics) |
| Soggetto non controllato |
ArtinГchreier reduced polynomial
Emanuel Kowalski EulerАoincar formula Frobenius conjugacy class Frobenius conjugacy Frobenius tori GoursatЋolchinВibet theorem Kloosterman sheaf Laurent polynomial Legendre Mellin transform Pierre Deligne Ron Evans Tannakian category Tannakian groups Zeeev Rudnick algebro-geometric autodual objects autoduality characteristic two connectedness dimensional objects duality equidistribution exponential sums fiber functor finite field Mellin transform finite field finite fields geometrical irreducibility group scheme hypergeometric sheaf interger monic polynomials isogenies lie-irreducibility lisse middle convolution middle extension sheaf monic polynomial monodromy groups noetherian connected scheme nonsplit form nontrivial additive character number theory odd characteristic odd prime orthogonal case perverse sheaves polynomials pure weight semisimple object semisimple sheaves signs split form supermorse theorem theorems |
| ISBN |
1-283-37996-1
9786613379962 1-4008-4270-0 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Introduction -- CHAPTER 1. Overview -- CHAPTER 2. Convolution of Perverse Sheaves -- CHAPTER 3. Fibre Functors -- CHAPTER 4. The Situation over a Finite Field -- CHAPTER 5. Frobenius Conjugacy Classes -- CHAPTER 6. Group-Theoretic Facts about Ggeom and Garith -- CHAPTER 7. The Main Theorem -- CHAPTER 8. Isogenies, Connectedness, and Lie-Irreducibility -- CHAPTER 9. Autodualities and Signs -- CHAPTER 10. A First Construction of Autodual Objects -- CHAPTER 11. A Second Construction of Autodual Objects -- CHAPTER 12. The Previous Construction in the Nonsplit Case -- CHAPTER 13. Results of Goursat-Kolchin-Ribet Type -- CHAPTER 14. The Case of SL(2); the Examples of Evans and Rudnick -- CHAPTER 15. Further SL(2) Examples, Based on the Legendre Family -- CHAPTER 16. Frobenius Tori and Weights; Getting Elements of Garith -- CHAPTER 17. GL(n) Examples -- CHAPTER 18. Symplectic Examples -- CHAPTER 19. Orthogonal Examples, Especially SO(n) Examples -- CHAPTER 20. GL(n) x GL(n) x ... x GL(n) Examples -- CHAPTER 21. SL(n) Examples, for n an Odd Prime -- CHAPTER 22. SL(n) Examples with Slightly Composite n -- CHAPTER 23. Other SL(n) Examples -- CHAPTER 24. An O(2n) Example -- CHAPTER 25. G2 Examples: the Overall Strategy -- CHAPTER 26. G2 Examples: Construction in Characteristic Two -- CHAPTER 27. G2 Examples: Construction in Odd Characteristic -- CHAPTER 28. The Situation over ℤ: Results -- CHAPTER 29. The Situation over ℤ: Questions -- CHAPTER 30. Appendix: Deligne's Fibre Functor -- Bibliography -- Index |
| Record Nr. | UNINA-9910789730903321 |
|
Katz Nicholas M. <1943->
|
||
| Princeton ; ; Oxford, : Princeton University Press, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Convolution and equidistribution : Sato-Tate theorems for finite-field Mellin transforms / / Nicholas M. Katz
| Convolution and equidistribution : Sato-Tate theorems for finite-field Mellin transforms / / Nicholas M. Katz |
| Autore | Katz Nicholas M. <1943-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton ; ; Oxford, : Princeton University Press, c2012 |
| Descrizione fisica | 1 online resource (213 p.) |
| Disciplina | 515/.723 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Mellin transform
Convolutions (Mathematics) Sequences (Mathematics) |
| Soggetto non controllato |
ArtinГchreier reduced polynomial
Emanuel Kowalski EulerАoincar formula Frobenius conjugacy class Frobenius conjugacy Frobenius tori GoursatЋolchinВibet theorem Kloosterman sheaf Laurent polynomial Legendre Mellin transform Pierre Deligne Ron Evans Tannakian category Tannakian groups Zeeev Rudnick algebro-geometric autodual objects autoduality characteristic two connectedness dimensional objects duality equidistribution exponential sums fiber functor finite field Mellin transform finite field finite fields geometrical irreducibility group scheme hypergeometric sheaf interger monic polynomials isogenies lie-irreducibility lisse middle convolution middle extension sheaf monic polynomial monodromy groups noetherian connected scheme nonsplit form nontrivial additive character number theory odd characteristic odd prime orthogonal case perverse sheaves polynomials pure weight semisimple object semisimple sheaves signs split form supermorse theorem theorems |
| ISBN |
1-283-37996-1
9786613379962 1-4008-4270-0 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Introduction -- CHAPTER 1. Overview -- CHAPTER 2. Convolution of Perverse Sheaves -- CHAPTER 3. Fibre Functors -- CHAPTER 4. The Situation over a Finite Field -- CHAPTER 5. Frobenius Conjugacy Classes -- CHAPTER 6. Group-Theoretic Facts about Ggeom and Garith -- CHAPTER 7. The Main Theorem -- CHAPTER 8. Isogenies, Connectedness, and Lie-Irreducibility -- CHAPTER 9. Autodualities and Signs -- CHAPTER 10. A First Construction of Autodual Objects -- CHAPTER 11. A Second Construction of Autodual Objects -- CHAPTER 12. The Previous Construction in the Nonsplit Case -- CHAPTER 13. Results of Goursat-Kolchin-Ribet Type -- CHAPTER 14. The Case of SL(2); the Examples of Evans and Rudnick -- CHAPTER 15. Further SL(2) Examples, Based on the Legendre Family -- CHAPTER 16. Frobenius Tori and Weights; Getting Elements of Garith -- CHAPTER 17. GL(n) Examples -- CHAPTER 18. Symplectic Examples -- CHAPTER 19. Orthogonal Examples, Especially SO(n) Examples -- CHAPTER 20. GL(n) x GL(n) x ... x GL(n) Examples -- CHAPTER 21. SL(n) Examples, for n an Odd Prime -- CHAPTER 22. SL(n) Examples with Slightly Composite n -- CHAPTER 23. Other SL(n) Examples -- CHAPTER 24. An O(2n) Example -- CHAPTER 25. G2 Examples: the Overall Strategy -- CHAPTER 26. G2 Examples: Construction in Characteristic Two -- CHAPTER 27. G2 Examples: Construction in Odd Characteristic -- CHAPTER 28. The Situation over ℤ: Results -- CHAPTER 29. The Situation over ℤ: Questions -- CHAPTER 30. Appendix: Deligne's Fibre Functor -- Bibliography -- Index |
| Record Nr. | UNINA-9910824873803321 |
|
Katz Nicholas M. <1943->
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| Princeton ; ; Oxford, : Princeton University Press, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Diskrete Mathematik : Grundlage der Informatik / / Walter Hower
| Diskrete Mathematik : Grundlage der Informatik / / Walter Hower |
| Autore | Hower Walter |
| Edizione | [2., erweiterte und verbesserte Auflage] |
| Pubbl/distr/stampa | München ; ; Wien : , : De Gruyter Oldenbourg, , [2021] |
| Descrizione fisica | 1 online resource (XIV, 133 p.) |
| Collana | De Gruyter Studium |
| Soggetto topico | COMPUTERS / General |
| Soggetto non controllato |
Informatics
discrete mathematics number theory probability |
| ISBN | 3-11-069555-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ger |
| Nota di contenuto | Frontmatter -- Vorspann zur 2. Auflage -- Vorwort zur 1. Auflage -- Inhaltsverzeichnis -- 0 Einführung -- 1 Grundstock -- 2 Mengen-Lehre -- 3 Boolesche Algebra -- 4 Beweis-Prinzipien -- 5 Zähl-Techniken -- 6 Wahrscheinlichkeits-Theorie -- A Anhang -- B Bonus-Track -- Literaturverzeichnis -- Register |
| Record Nr. | UNINA-9910554217303321 |
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Hower Walter
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| München ; ; Wien : , : De Gruyter Oldenbourg, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Emergent Quantum Mechanics. David Bohm Centennial Perspectives
| Emergent Quantum Mechanics. David Bohm Centennial Perspectives |
| Autore | Walleczek Jan |
| Pubbl/distr/stampa | MDPI - Multidisciplinary Digital Publishing Institute, 2019 |
| Descrizione fisica | 1 electronic resource (544 p.) |
| Soggetto non controllato |
non-locality
ultraviolet divergence constraints Kilmister equation bohmian mechanics epistemic agent Bohmian mechanics relational space Feynman paths Langevin equation quantum causality emergent quantum gravity quantum ontology interpretations emergent quantum state undecidable dynamics molecule interference emergent quantum mechanics no-hidden-variables theorems mind–body problem physical ontology quantum foundations matter-wave optics conscious agent diffusion constant Bell theorem Burgers equation objective non-signaling constraint self-referential dynamics Bell inequality interpretation photochemistry Born rule statistics sub-quantum dynamics dynamical chaos weak measurement p-adic metric Levi-Civita connection David Bohm H-theorem the causal arrow of time strong coupling vortical dynamics fundamental irreversibility magnetic deflectometry quantum thermodynamics de Broglie–Bohm interpretation of quantum mechanics wavefunction nodes stochastic quantum dynamics entropic gravity metrology Schrödinger equation gauge freedom Monte Carlo simulations micro-constituents nonequilibrium thermodynamics Bell’s theorem emergent space-time spin quantum field theory time-symmetry Gaussian-like solutions Hamiltonian number theory fractional velocity ergodicity fractal geometry atomic metastable states operator thermodynamic functions Canonical Presentation Retrocausation interpretations of quantum mechanics Bohm theory quantum mechanics zero-point field conspiracy pilot wave quantum holism toy-models curvature tensor Aharonov–Bohm effect computational irreducibility Stochastic Electrodynamics diffraction retrocausality resonances in quantum systems stochastic differential equations Bianchi identity past of the photon commutator relational interpretation of quantum mechanics free will nomology trajectories primitive ontology Mach–Zehnder interferometer weak values singular limit interior-boundary condition Poincaré recurrence quantum inaccessibility symplectic camel surrealistic trajectories observables Stern-Gerlach decoherence quantum non-equilibrium generalized Lagrangian paths superdeterminism black hole thermodynamics nonlocality measurement problem entropy and time evolution bouncing oil droplets spontaneous state reduction quantum theory many interacting worlds complex entropy Turing incomputability iterant space-time fluctuations quantum potential ontological quantum mechanics photon trajectory Dove prism the Friedrichs model contextuality discrete calculus transition probability amplitude gravity pilot-wave theory matter-waves de Broglie-Bohm theory covariant quantum gravity atom-surface scattering de Broglie–Bohm theory |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910346839303321 |
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Walleczek Jan
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| MDPI - Multidisciplinary Digital Publishing Institute, 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||