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Algebraic aspects of Darboux transformations, quantum integrable systems and supersymmetric quantum mechanics : Jairo Charris Seminar 2010, Universidad Sergio Arboleda, Santa Marta, Colombia / / Primitivo B. Acosta-Humánez [and three others], editors
| Algebraic aspects of Darboux transformations, quantum integrable systems and supersymmetric quantum mechanics : Jairo Charris Seminar 2010, Universidad Sergio Arboleda, Santa Marta, Colombia / / Primitivo B. Acosta-Humánez [and three others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society |
| Descrizione fisica | 1 online resource (226 p.) |
| Disciplina | 512/.56 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Differential algebra
Darboux transformations Quantum theory - Mathematics |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-8535-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Preface""; ""Spectral/quadrature duality: Picardâ€?Vessiot theory and finite-gap potentials""; ""1. Introduction""; ""2. Background""; ""3. Integrability of equation (1) by Picardâ€?Vessiot""; ""4. Spectral/quadrature duality. An integration procedure""; ""5. The Î?-functons""; ""6. Integration as a linearly exponential Î?-extension""; ""7. Integrability and differential closedness""; ""8. Definition of through Liouvillian extension""; ""9. Non-finite-gap integrable counterexamples""; ""10. Concluding remarks""; ""References""
""Darboux transformation, exceptional orthogonal polynomials and information theoretic measures of uncertainty""""1. Introduction""; ""2. A brief outline of supersymmetric quantum mechanics""; ""3. EOP�s associated with broken supersymmetry""; ""4. Relation with higher order Darboux transformation""; ""5. Information-theoretic lengths for the partner potential of linear harmonic oscillator via supersymmetry""; ""6. Moment of the quantum mechanical states associated with the partner of harmonic oscillator via supersymmetry""; ""7. Discussion:""; ""References"" ""On orthogonal polynomials spanning a non-standard flag""""1. Introduction""; ""2. Preliminaries""; ""3. Codimension 1 flags""; ""4. Higher codimension flags""; ""Acknowledgements""; ""References""; ""On the Supersymmetric Spectra of two Planar Integrable Quantum Systems""; ""1. Introduction""; ""2. =2 supersymmetric planar quantum systems""; ""3. The planar quantum Kepler/Coulomb problem and supersymmetry""; ""4. The planar quantum Euler/Coulomb problem and supersymmetry""; ""5. Two center collapse in one center""; ""6. Further comments""; ""Acknowledgements""; ""References"" ""Solvable rational extension of translationally shape invariant potentials""""Introduction""; ""1. Solvable rational extensions of the harmonic oscillator""; ""2. Second category potentials""; ""3. Conclusion""; ""Acknowledgments""; ""References""; ""The pentagram map: geometry, algebra, integrability""; ""1. Introduction: The pentagram map""; ""2. Complete integrability of the pentagram map on the space _{ }""; ""3. Relation to the Boussinesq equation""; ""4. The space _{ } and 2-frieze patterns""; ""Acknowledgments""; ""References""; ""Jet Bundles, symmetries, Darboux transforms"" ""Elliptic beta integrals and solvable models of statistical mechanics"" |
| Record Nr. | UNINA-9910480116703321 |
| Providence, Rhode Island : , : American Mathematical Society | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Algebraic aspects of Darboux transformations, quantum integrable systems and supersymmetric quantum mechanics : Jairo Charris Seminar 2010, Universidad Sergio Arboleda, Santa Marta, Colombia / / Primitivo B. Acosta-Humánez [and three others], editors
| Algebraic aspects of Darboux transformations, quantum integrable systems and supersymmetric quantum mechanics : Jairo Charris Seminar 2010, Universidad Sergio Arboleda, Santa Marta, Colombia / / Primitivo B. Acosta-Humánez [and three others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society |
| Descrizione fisica | 1 online resource (226 p.) |
| Disciplina | 512/.56 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Differential algebra
Darboux transformations Quantum theory - Mathematics |
| ISBN | 0-8218-8535-9 |
| Classificazione | 12H0533E3081Q6081Q8082B2333E99 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Spectral/quadrature duality: Picard-Vessiot theory and finite-gap potentials -- 1. Introduction -- 2. Background -- 3. Integrability of equation (1) by Picard-Vessiot -- 4. Spectral/quadrature duality. An integration procedure -- 5. The Î?-functons -- 6. Integration as a linearly exponential Î?-extension -- 7. Integrability and differential closedness -- 8. Definition of through Liouvillian extension -- 9. Non-finite-gap integrable counterexamples -- 10. Concluding remarks -- References -- Darboux transformation, exceptional orthogonal polynomials and information theoretic measures of uncertainty -- 1. Introduction -- 2. A brief outline of supersymmetric quantum mechanics -- 3. EOP's associated with broken supersymmetry -- 4. Relation with higher order Darboux transformation -- 5. Information-theoretic lengths for the partner potential of linear harmonic oscillator via supersymmetry -- 6. Moment of the quantum mechanical states associated with the partner of harmonic oscillator via supersymmetry -- 7. Discussion: -- References -- On orthogonal polynomials spanning a non-standard flag -- 1. Introduction -- 2. Preliminaries -- 3. Codimension 1 flags -- 4. Higher codimension flags -- Acknowledgements -- References -- On the Supersymmetric Spectra of two Planar Integrable Quantum Systems -- 1. Introduction -- 2. =2 supersymmetric planar quantum systems -- 3. The planar quantum Kepler/Coulomb problem and supersymmetry -- 4. The planar quantum Euler/Coulomb problem and supersymmetry -- 5. Two center collapse in one center -- 6. Further comments -- Acknowledgements -- References -- Solvable rational extension of translationally shape invariant potentials -- Introduction -- 1. Solvable rational extensions of the harmonic oscillator -- 2. Second category potentials -- 3. Conclusion -- Acknowledgments -- References -- The pentagram map: geometry, algebra, integrability -- 1. Introduction: The pentagram map -- 2. Complete integrability of the pentagram map on the space _{ } -- 3. Relation to the Boussinesq equation -- 4. The space _{ } and 2-frieze patterns -- Acknowledgments -- References -- Jet Bundles, symmetries, Darboux transforms -- Elliptic beta integrals and solvable models of statistical mechanics. |
| Record Nr. | UNINA-9910788636203321 |
| Providence, Rhode Island : , : American Mathematical Society | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Algebraic aspects of Darboux transformations, quantum integrable systems and supersymmetric quantum mechanics : Jairo Charris Seminar 2010, Universidad Sergio Arboleda, Santa Marta, Colombia / / Primitivo B. Acosta-Humánez [and three others], editors
| Algebraic aspects of Darboux transformations, quantum integrable systems and supersymmetric quantum mechanics : Jairo Charris Seminar 2010, Universidad Sergio Arboleda, Santa Marta, Colombia / / Primitivo B. Acosta-Humánez [and three others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society |
| Descrizione fisica | 1 online resource (226 p.) |
| Disciplina | 512/.56 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Differential algebra
Darboux transformations Quantum theory - Mathematics |
| ISBN | 0-8218-8535-9 |
| Classificazione | 12H0533E3081Q6081Q8082B2333E99 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Spectral/quadrature duality: Picard-Vessiot theory and finite-gap potentials -- 1. Introduction -- 2. Background -- 3. Integrability of equation (1) by Picard-Vessiot -- 4. Spectral/quadrature duality. An integration procedure -- 5. The Î?-functons -- 6. Integration as a linearly exponential Î?-extension -- 7. Integrability and differential closedness -- 8. Definition of through Liouvillian extension -- 9. Non-finite-gap integrable counterexamples -- 10. Concluding remarks -- References -- Darboux transformation, exceptional orthogonal polynomials and information theoretic measures of uncertainty -- 1. Introduction -- 2. A brief outline of supersymmetric quantum mechanics -- 3. EOP's associated with broken supersymmetry -- 4. Relation with higher order Darboux transformation -- 5. Information-theoretic lengths for the partner potential of linear harmonic oscillator via supersymmetry -- 6. Moment of the quantum mechanical states associated with the partner of harmonic oscillator via supersymmetry -- 7. Discussion: -- References -- On orthogonal polynomials spanning a non-standard flag -- 1. Introduction -- 2. Preliminaries -- 3. Codimension 1 flags -- 4. Higher codimension flags -- Acknowledgements -- References -- On the Supersymmetric Spectra of two Planar Integrable Quantum Systems -- 1. Introduction -- 2. =2 supersymmetric planar quantum systems -- 3. The planar quantum Kepler/Coulomb problem and supersymmetry -- 4. The planar quantum Euler/Coulomb problem and supersymmetry -- 5. Two center collapse in one center -- 6. Further comments -- Acknowledgements -- References -- Solvable rational extension of translationally shape invariant potentials -- Introduction -- 1. Solvable rational extensions of the harmonic oscillator -- 2. Second category potentials -- 3. Conclusion -- Acknowledgments -- References -- The pentagram map: geometry, algebra, integrability -- 1. Introduction: The pentagram map -- 2. Complete integrability of the pentagram map on the space _{ } -- 3. Relation to the Boussinesq equation -- 4. The space _{ } and 2-frieze patterns -- Acknowledgments -- References -- Jet Bundles, symmetries, Darboux transforms -- Elliptic beta integrals and solvable models of statistical mechanics. |
| Record Nr. | UNINA-9910822597303321 |
| Providence, Rhode Island : , : American Mathematical Society | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Algebraic aspects of Darboux transformations, quantum integrable systems, and supersymmetric quantum mechanics / Primitivo B. Acosta-Humanez ... [et al.], editors
| Algebraic aspects of Darboux transformations, quantum integrable systems, and supersymmetric quantum mechanics / Primitivo B. Acosta-Humanez ... [et al.], editors |
| Pubbl/distr/stampa | Providence, R. I. : American Mathematical Society |
| Descrizione fisica | ix, 211 p. : ill. ; 26 cm |
| Disciplina | 512.56 |
| Altri autori (Persone) | Acosta Humanez, Primitivo B. |
| Collana | Contemporary mathematics, 0271-4132 ; 563 |
| Soggetto topico |
Differential algebra
Darboux transformations Quantum theory - Mathematics |
| ISBN | 9780821875841 |
| Classificazione |
AMS 12H05
AMS 33E30 AMS 81Q80 LC QA247.4.A45 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001856059707536 |
| Providence, R. I. : American Mathematical Society | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Algebraic identification and estimation methods in feedback control systems / / Hebertt Sira-ramírez
| Algebraic identification and estimation methods in feedback control systems / / Hebertt Sira-ramírez |
| Autore | Sira-ramírez Herbett J. |
| Pubbl/distr/stampa | Chichester, West Sussex, United Kingdom : , : John Wiley & Sons, , 2014 |
| Descrizione fisica | 1 online resource (391 p.) |
| Disciplina | 629.8/301512 |
| Collana | Wiley Series in Dynamics and Control of Electromechanical Systems |
| Soggetto topico |
Feedback control systems - Mathematical models
Control theory - Mathematics Differential algebra |
| ISBN |
1-118-73058-5
1-118-73059-3 1-118-73057-7 |
| Classificazione | TEC009070 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright; Contents; Series Preface; Preface; Chapter 1 Introduction; 1.1 Feedback Control of Dynamic Systems; 1.1.1 Feedback; 1.1.2 Why Do We Need Feedback?; 1.2 The Parameter Identification Problem; 1.2.1 Identifying a System; 1.3 A Brief Survey on Parameter Identification; 1.4 The State Estimation Problem; 1.4.1 Observers; 1.4.2 Reconstructing the State via Time Derivative Estimation; 1.5 Algebraic Methods in Control Theory: Differences from Existing Methodologies; 1.6 Outline of the Book; References; Chapter 2 Algebraic Parameter Identification in Linear Systems
2.1 Introduction 2.1.1 The Parameter-Estimation Problem in Linear Systems; 2.2 Introductory Examples; 2.2.1 Dragging an Unknown Mass in Open Loop; 2.2.2 A Perturbed First-Order System; 2.2.3 The Visual Servoing Problem; 2.2.4 Balancing of the Plane Rotor; 2.2.5 On the Control of the Linear Motor; 2.2.6 Double-Bridge Buck Converter; 2.2.7 Closed-Loop Behavior; 2.2.8 Control of an unknown variable gain motor; 2.2.9 Identifying Classical Controller Parameters; 2.3 A Case Study Introducing a ""Sentinel'' Criterion; 2.3.1 A Suspension System Model; 2.4 Remarks; References Chapter 3 Algebraic Parameter Identification in Nonlinear Systems 3.1 Introduction; 3.2 Algebraic Parameter Identification for Nonlinear Systems; 3.2.1 Controlling an Uncertain Pendulum; 3.2.2 A Block-Driving Problem; 3.2.3 The Fully Actuated Rigid Body; 3.2.4 Parameter Identification Under Sliding Motions; 3.2.5 Control of an Uncertain Inverted Pendulum Driven by a DC Motor; 3.2.6 Identification and Control of a Convey Crane; 3.2.7 Identification of a Magnetic Levitation System; 3.3 An Alternative Construction of the System of Linear Equations; 3.3.1 Genesio-Tesi Chaotic System 3.3.2 The Ueda Oscillator 3.3.3 Identification and Control of an Uncertain Brushless DC Motor; 3.3.4 Parameter Identification and Self-tuned Control for the Inertia Wheel Pendulum; 3.3.5 Algebraic Parameter Identification for Induction Motors; 3.3.6 A Criterion to Determine the Estimator Convergence: The Error Index; 3.4 Remarks; References; Chapter 4 Algebraic Parameter Identification in Discrete-Time Systems; 4.1 Introduction; 4.2 Algebraic Parameter Identification in Discrete-Time Systems; 4.2.1 Main Purpose of the Chapter; 4.2.2 Problem Formulation and Assumptions 4.2.3 An Introductory Example 4.2.4 Samuelson's Model of the National Economy; 4.2.5 Heating of a Slab from Two Boundary Points; 4.2.6 An Exact Backward Shift Reconstructor; 4.3 A Nonlinear Filtering Scheme; 4.3.1 Hénon System; 4.3.2 A Hard Disk Drive; 4.3.3 The Visual Servo Tracking Problem; 4.3.4 A Shape Control Problem in a Rolling Mill; 4.3.5 Algebraic Frequency Identification of a Sinusoidal Signal by Means of Exact Discretization; 4.4 Algebraic Identification in Fast-Sampled Linear Systems; 4.4.1 The Delta-Operator Approach: A Theoretical Framework; 4.4.2 Delta-Transform Properties 4.4.3 A DC Motor Example |
| Record Nr. | UNINA-9910140271903321 |
Sira-ramírez Herbett J.
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| Chichester, West Sussex, United Kingdom : , : John Wiley & Sons, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Algebraic identification and estimation methods in feedback control systems / / Hebertt Sira-ramírez
| Algebraic identification and estimation methods in feedback control systems / / Hebertt Sira-ramírez |
| Autore | Sira-ramírez Herbett J. |
| Pubbl/distr/stampa | Chichester, West Sussex, United Kingdom : , : John Wiley & Sons, , 2014 |
| Descrizione fisica | 1 online resource (391 p.) |
| Disciplina | 629.8/301512 |
| Collana | Wiley Series in Dynamics and Control of Electromechanical Systems |
| Soggetto topico |
Feedback control systems - Mathematical models
Control theory - Mathematics Differential algebra |
| ISBN |
1-118-73058-5
1-118-73059-3 1-118-73057-7 |
| Classificazione | TEC009070 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright; Contents; Series Preface; Preface; Chapter 1 Introduction; 1.1 Feedback Control of Dynamic Systems; 1.1.1 Feedback; 1.1.2 Why Do We Need Feedback?; 1.2 The Parameter Identification Problem; 1.2.1 Identifying a System; 1.3 A Brief Survey on Parameter Identification; 1.4 The State Estimation Problem; 1.4.1 Observers; 1.4.2 Reconstructing the State via Time Derivative Estimation; 1.5 Algebraic Methods in Control Theory: Differences from Existing Methodologies; 1.6 Outline of the Book; References; Chapter 2 Algebraic Parameter Identification in Linear Systems
2.1 Introduction 2.1.1 The Parameter-Estimation Problem in Linear Systems; 2.2 Introductory Examples; 2.2.1 Dragging an Unknown Mass in Open Loop; 2.2.2 A Perturbed First-Order System; 2.2.3 The Visual Servoing Problem; 2.2.4 Balancing of the Plane Rotor; 2.2.5 On the Control of the Linear Motor; 2.2.6 Double-Bridge Buck Converter; 2.2.7 Closed-Loop Behavior; 2.2.8 Control of an unknown variable gain motor; 2.2.9 Identifying Classical Controller Parameters; 2.3 A Case Study Introducing a ""Sentinel'' Criterion; 2.3.1 A Suspension System Model; 2.4 Remarks; References Chapter 3 Algebraic Parameter Identification in Nonlinear Systems 3.1 Introduction; 3.2 Algebraic Parameter Identification for Nonlinear Systems; 3.2.1 Controlling an Uncertain Pendulum; 3.2.2 A Block-Driving Problem; 3.2.3 The Fully Actuated Rigid Body; 3.2.4 Parameter Identification Under Sliding Motions; 3.2.5 Control of an Uncertain Inverted Pendulum Driven by a DC Motor; 3.2.6 Identification and Control of a Convey Crane; 3.2.7 Identification of a Magnetic Levitation System; 3.3 An Alternative Construction of the System of Linear Equations; 3.3.1 Genesio-Tesi Chaotic System 3.3.2 The Ueda Oscillator 3.3.3 Identification and Control of an Uncertain Brushless DC Motor; 3.3.4 Parameter Identification and Self-tuned Control for the Inertia Wheel Pendulum; 3.3.5 Algebraic Parameter Identification for Induction Motors; 3.3.6 A Criterion to Determine the Estimator Convergence: The Error Index; 3.4 Remarks; References; Chapter 4 Algebraic Parameter Identification in Discrete-Time Systems; 4.1 Introduction; 4.2 Algebraic Parameter Identification in Discrete-Time Systems; 4.2.1 Main Purpose of the Chapter; 4.2.2 Problem Formulation and Assumptions 4.2.3 An Introductory Example 4.2.4 Samuelson's Model of the National Economy; 4.2.5 Heating of a Slab from Two Boundary Points; 4.2.6 An Exact Backward Shift Reconstructor; 4.3 A Nonlinear Filtering Scheme; 4.3.1 Hénon System; 4.3.2 A Hard Disk Drive; 4.3.3 The Visual Servo Tracking Problem; 4.3.4 A Shape Control Problem in a Rolling Mill; 4.3.5 Algebraic Frequency Identification of a Sinusoidal Signal by Means of Exact Discretization; 4.4 Algebraic Identification in Fast-Sampled Linear Systems; 4.4.1 The Delta-Operator Approach: A Theoretical Framework; 4.4.2 Delta-Transform Properties 4.4.3 A DC Motor Example |
| Record Nr. | UNINA-9910808943903321 |
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Sira-ramírez Herbett J.
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| Chichester, West Sussex, United Kingdom : , : John Wiley & Sons, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Algèbres connexes et homologie des espaces de lacets / Jean-Michel Lemaire
| Algèbres connexes et homologie des espaces de lacets / Jean-Michel Lemaire |
| Autore | Lemaire, Jean Michel |
| Pubbl/distr/stampa | Berlin ; New York : Springer Verlag, 1974 |
| Descrizione fisica | xiv, 133 p. ; 25 cm |
| Disciplina | 512.55 |
| Collana | Lecture notes in mathematics, 0075-8434 ; 422 |
| Soggetto topico |
Differential algebra
Homology theory Lie algebras Loop spaces |
| ISBN | 3540069682 |
| Classificazione | AMS 18G |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | fre |
| Record Nr. | UNISALENTO-991000668009707536 |
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Lemaire, Jean Michel
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| Berlin ; New York : Springer Verlag, 1974 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Differential algebra and related topics [[electronic resource] ] : proceedings of the International Workshop, Newark Campus of Rutgers, The State University of New Jersey, 2-3 November 2000 / / editors, Li Guo ... [et al.]
| Differential algebra and related topics [[electronic resource] ] : proceedings of the International Workshop, Newark Campus of Rutgers, The State University of New Jersey, 2-3 November 2000 / / editors, Li Guo ... [et al.] |
| Pubbl/distr/stampa | Singapore ; ; Hong Kong, : World Scientific, c2002 |
| Descrizione fisica | 1 online resource (320 p.) |
| Disciplina | 515.35 |
| Altri autori (Persone) | GuoLi |
| Soggetto topico |
Differential algebra
Algebraic fields |
| Soggetto genere / forma | Electronic books. |
| ISBN | 981-277-843-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Foreword ; Workshop Participants ; Workshop Program ; The Ritt-Kolchin Theory for Differential Polynomials ; Preface ; 1 Basic Definitions ; 2 Triangular Sets and Pseudo-Division ; 3 Invertibility of Initials ; 4 Ranking and Reduction Concepts ; 5 Characteristic Sets
6 Reduction Algorithms 7 Rosenfeld Properties of an Autoreduced Set ; 8 Coherence and Rosenfeld's Lemma ; 9 Ritt-Raudenbush Basis Theorem ; 10 Decomposition Problems ; 11 Component Theorems ; 12 The Low Power Theorem ; Appendix: Solutions and hints to selected exercises ; References Differential Schemes 1 Introduction ; 2 Differential rings ; 3 Differential spectrum ; 4 Structure sheaf ; 5 Morphisms ; 6 A-Schemes ; 7 A-Zeros ; 8 Differential spectrum of R ; 9 AAD modules ; 10 Global sections of AAD rings ; 11 AAD schemes ; 12 AAD reduction 13 Based schemes 14 Products ; References ; Differential Algebra - A Scheme Theory Approach ; Introduction ; 1 Differential Rings ; 2 Kolchin's Irreducibility Theorem ; 3 Descent for Projective Varieties ; 4 Complements and Questions ; References Model Theory and Differential Algebra 1 Introduction ; 2 Notation and conventions in differential algebra ; 3 What is model theory? ; 4 Differentially closed fields ; 5 O-minimal theories ; 6 Valued differential fields ; 7 Model theory of difference fields ; References Inverse Differential Galois Theory |
| Record Nr. | UNINA-9910451315903321 |
| Singapore ; ; Hong Kong, : World Scientific, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Differential algebra and related topics [[electronic resource] ] : proceedings of the International Workshop, Newark Campus of Rutgers, The State University of New Jersey, 2-3 November 2000 / / editors, Li Guo ... [et al.]
| Differential algebra and related topics [[electronic resource] ] : proceedings of the International Workshop, Newark Campus of Rutgers, The State University of New Jersey, 2-3 November 2000 / / editors, Li Guo ... [et al.] |
| Pubbl/distr/stampa | Singapore ; ; Hong Kong, : World Scientific, c2002 |
| Descrizione fisica | 1 online resource (320 p.) |
| Disciplina | 515.35 |
| Altri autori (Persone) | GuoLi |
| Soggetto topico |
Differential algebra
Algebraic fields |
| ISBN | 981-277-843-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Foreword ; Workshop Participants ; Workshop Program ; The Ritt-Kolchin Theory for Differential Polynomials ; Preface ; 1 Basic Definitions ; 2 Triangular Sets and Pseudo-Division ; 3 Invertibility of Initials ; 4 Ranking and Reduction Concepts ; 5 Characteristic Sets
6 Reduction Algorithms 7 Rosenfeld Properties of an Autoreduced Set ; 8 Coherence and Rosenfeld's Lemma ; 9 Ritt-Raudenbush Basis Theorem ; 10 Decomposition Problems ; 11 Component Theorems ; 12 The Low Power Theorem ; Appendix: Solutions and hints to selected exercises ; References Differential Schemes 1 Introduction ; 2 Differential rings ; 3 Differential spectrum ; 4 Structure sheaf ; 5 Morphisms ; 6 A-Schemes ; 7 A-Zeros ; 8 Differential spectrum of R ; 9 AAD modules ; 10 Global sections of AAD rings ; 11 AAD schemes ; 12 AAD reduction 13 Based schemes 14 Products ; References ; Differential Algebra - A Scheme Theory Approach ; Introduction ; 1 Differential Rings ; 2 Kolchin's Irreducibility Theorem ; 3 Descent for Projective Varieties ; 4 Complements and Questions ; References Model Theory and Differential Algebra 1 Introduction ; 2 Notation and conventions in differential algebra ; 3 What is model theory? ; 4 Differentially closed fields ; 5 O-minimal theories ; 6 Valued differential fields ; 7 Model theory of difference fields ; References Inverse Differential Galois Theory |
| Record Nr. | UNINA-9910784986603321 |
| Singapore ; ; Hong Kong, : World Scientific, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Differential function fields and moduli of algebraic varieties / / Alexandru Buium
| Differential function fields and moduli of algebraic varieties / / Alexandru Buium |
| Autore | Buium Alexandru <1955-> |
| Edizione | [1st ed. 1986.] |
| Pubbl/distr/stampa | Berlin ; ; Heidelberg : , : Springer-Verlag, , [1986] |
| Descrizione fisica | 1 online resource (IX, 150 p.) |
| Disciplina | 516.353 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Algebraic varieties
Differential algebra |
| ISBN | 3-540-47354-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preliminaries -- Differential descent theory -- Normality in differential galois theory -- Complements. |
| Record Nr. | UNISA-996466378503316 |
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Buium Alexandru <1955->
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| Berlin ; ; Heidelberg : , : Springer-Verlag, , [1986] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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