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Blowing up of non-commutative smooth surfaces / / Michel Van den Bergh
Blowing up of non-commutative smooth surfaces / / Michel Van den Bergh
Autore Bergh M. van den
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2001
Descrizione fisica 1 online resource (157 p.)
Disciplina 510 s
516.3/6
Collana Memoirs of the American Mathematical Society
Soggetto topico Noncommutative differential geometry
Blowing up (Algebraic geometry)
Soggetto genere / forma Electronic books.
ISBN 1-4704-0327-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Chapter 1. Introduction""; ""1.1. Motivation""; ""1.2. Construction""; ""1.3. General properties""; ""1.4. Non-commutative Del-Pezzo surfaces""; ""1.5. Exceptional simple objects""; ""1.6. Non-commutative cubic surfaces""; ""1.7. Acknowledgement""; ""Chapter 2. Preliminaries on category theory""; ""Chapter 3. Non-commutative geometry""; ""3.1. Bimodules""; ""3.2. Graded modules, bimodules and algebras""; ""3.3. Quotients of the identity functor""; ""3.4. Ideals in the identity functor""; ""3.5. Quasi-schemes""; ""3.6. Divisors""; ""3.7. Proj""
""3.8. Condition ""X"" and cohomological dimension""""3.9. Higher inverse images""; ""3.10. Algebras which are strongly graded modulo a Serre subcategory""; ""3.11. The positive part of certain graded algebras""; ""3.12. Veronese subalgebras""; ""Chapter 4. Pseudo-compact rings""; ""Chapter 5. Cohen-Macaulay curves embedded in quasi-schemes""; ""5.1. Preliminaries""; ""5.2. Some computations""; ""5.3. Completion of objects in mod(X)""; ""5.4. Completion of bimodules""; ""5.5. The category C[sub(f,p)]""; ""5.6. Completion of algebras""
""5.7. Multiplicities in the case that Ï? has infinite order""""Chapter 6. Blowing up a point on a commutative divisor""; ""6.1. Some ideals""; ""6.2. Some Rees algebras""; ""6.3. Definition of blowing up""; ""6.4. The normal bundle""; ""6.5. Birationality""; ""6.6. The exceptional curve""; ""6.7. The structure of the exceptional curve""; ""6.8. The strict transform""; ""6.9. A result on K[sub(0)] of some categories""; ""Chapter 7. Derived categories""; ""7.1. Generalities""; ""7.2. Admissible compositions of morphisms between quasi-schemes""
""Chapter 8. The derived category of a non-commutative blowup""""8.1. The formalism of semi-orthogonal decompositions""; ""8.2. Generalities""; ""8.3. Computation of some derived functors""; ""8.4. The main theorem""; ""Chapter 9. Some results on graded algebras and their sections""; ""9.1. Generalities""; ""9.2. The case of a blowing up""; ""Chapter 10. Quantum plane geometry""; ""10.1. Multiplicities of some objects""; ""10.2. Classification of lines and conics""; ""Chapter 11. Blowing up n points in an elliptic quantum plane""; ""11.1. Derived categories""
""11.2. Exceptional simple objects""""Chapter 12. Non-commutative cubic surfaces""; ""Appendix A. Two-categories""; ""Appendix B. Summary of notations""; ""Appendix C. Index of terminology""; ""Bibliography""
Record Nr. UNINA-9910479980403321
Bergh M. van den  
Providence, Rhode Island : , : American Mathematical Society, , 2001
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Blowing up of non-commutative smooth surfaces / / Michel Van den Bergh
Blowing up of non-commutative smooth surfaces / / Michel Van den Bergh
Autore Bergh M. van den
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2001
Descrizione fisica 1 online resource (157 p.)
Disciplina 510 s
516.3/6
Collana Memoirs of the American Mathematical Society
Soggetto topico Noncommutative differential geometry
Blowing up (Algebraic geometry)
ISBN 1-4704-0327-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Chapter 1. Introduction""; ""1.1. Motivation""; ""1.2. Construction""; ""1.3. General properties""; ""1.4. Non-commutative Del-Pezzo surfaces""; ""1.5. Exceptional simple objects""; ""1.6. Non-commutative cubic surfaces""; ""1.7. Acknowledgement""; ""Chapter 2. Preliminaries on category theory""; ""Chapter 3. Non-commutative geometry""; ""3.1. Bimodules""; ""3.2. Graded modules, bimodules and algebras""; ""3.3. Quotients of the identity functor""; ""3.4. Ideals in the identity functor""; ""3.5. Quasi-schemes""; ""3.6. Divisors""; ""3.7. Proj""
""3.8. Condition ""X"" and cohomological dimension""""3.9. Higher inverse images""; ""3.10. Algebras which are strongly graded modulo a Serre subcategory""; ""3.11. The positive part of certain graded algebras""; ""3.12. Veronese subalgebras""; ""Chapter 4. Pseudo-compact rings""; ""Chapter 5. Cohen-Macaulay curves embedded in quasi-schemes""; ""5.1. Preliminaries""; ""5.2. Some computations""; ""5.3. Completion of objects in mod(X)""; ""5.4. Completion of bimodules""; ""5.5. The category C[sub(f,p)]""; ""5.6. Completion of algebras""
""5.7. Multiplicities in the case that Ï? has infinite order""""Chapter 6. Blowing up a point on a commutative divisor""; ""6.1. Some ideals""; ""6.2. Some Rees algebras""; ""6.3. Definition of blowing up""; ""6.4. The normal bundle""; ""6.5. Birationality""; ""6.6. The exceptional curve""; ""6.7. The structure of the exceptional curve""; ""6.8. The strict transform""; ""6.9. A result on K[sub(0)] of some categories""; ""Chapter 7. Derived categories""; ""7.1. Generalities""; ""7.2. Admissible compositions of morphisms between quasi-schemes""
""Chapter 8. The derived category of a non-commutative blowup""""8.1. The formalism of semi-orthogonal decompositions""; ""8.2. Generalities""; ""8.3. Computation of some derived functors""; ""8.4. The main theorem""; ""Chapter 9. Some results on graded algebras and their sections""; ""9.1. Generalities""; ""9.2. The case of a blowing up""; ""Chapter 10. Quantum plane geometry""; ""10.1. Multiplicities of some objects""; ""10.2. Classification of lines and conics""; ""Chapter 11. Blowing up n points in an elliptic quantum plane""; ""11.1. Derived categories""
""11.2. Exceptional simple objects""""Chapter 12. Non-commutative cubic surfaces""; ""Appendix A. Two-categories""; ""Appendix B. Summary of notations""; ""Appendix C. Index of terminology""; ""Bibliography""
Record Nr. UNINA-9910788844903321
Bergh M. van den  
Providence, Rhode Island : , : American Mathematical Society, , 2001
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Blowing up of non-commutative smooth surfaces / / Michel Van den Bergh
Blowing up of non-commutative smooth surfaces / / Michel Van den Bergh
Autore Bergh M. van den
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2001
Descrizione fisica 1 online resource (157 p.)
Disciplina 510 s
516.3/6
Collana Memoirs of the American Mathematical Society
Soggetto topico Noncommutative differential geometry
Blowing up (Algebraic geometry)
ISBN 1-4704-0327-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Chapter 1. Introduction""; ""1.1. Motivation""; ""1.2. Construction""; ""1.3. General properties""; ""1.4. Non-commutative Del-Pezzo surfaces""; ""1.5. Exceptional simple objects""; ""1.6. Non-commutative cubic surfaces""; ""1.7. Acknowledgement""; ""Chapter 2. Preliminaries on category theory""; ""Chapter 3. Non-commutative geometry""; ""3.1. Bimodules""; ""3.2. Graded modules, bimodules and algebras""; ""3.3. Quotients of the identity functor""; ""3.4. Ideals in the identity functor""; ""3.5. Quasi-schemes""; ""3.6. Divisors""; ""3.7. Proj""
""3.8. Condition ""X"" and cohomological dimension""""3.9. Higher inverse images""; ""3.10. Algebras which are strongly graded modulo a Serre subcategory""; ""3.11. The positive part of certain graded algebras""; ""3.12. Veronese subalgebras""; ""Chapter 4. Pseudo-compact rings""; ""Chapter 5. Cohen-Macaulay curves embedded in quasi-schemes""; ""5.1. Preliminaries""; ""5.2. Some computations""; ""5.3. Completion of objects in mod(X)""; ""5.4. Completion of bimodules""; ""5.5. The category C[sub(f,p)]""; ""5.6. Completion of algebras""
""5.7. Multiplicities in the case that Ï? has infinite order""""Chapter 6. Blowing up a point on a commutative divisor""; ""6.1. Some ideals""; ""6.2. Some Rees algebras""; ""6.3. Definition of blowing up""; ""6.4. The normal bundle""; ""6.5. Birationality""; ""6.6. The exceptional curve""; ""6.7. The structure of the exceptional curve""; ""6.8. The strict transform""; ""6.9. A result on K[sub(0)] of some categories""; ""Chapter 7. Derived categories""; ""7.1. Generalities""; ""7.2. Admissible compositions of morphisms between quasi-schemes""
""Chapter 8. The derived category of a non-commutative blowup""""8.1. The formalism of semi-orthogonal decompositions""; ""8.2. Generalities""; ""8.3. Computation of some derived functors""; ""8.4. The main theorem""; ""Chapter 9. Some results on graded algebras and their sections""; ""9.1. Generalities""; ""9.2. The case of a blowing up""; ""Chapter 10. Quantum plane geometry""; ""10.1. Multiplicities of some objects""; ""10.2. Classification of lines and conics""; ""Chapter 11. Blowing up n points in an elliptic quantum plane""; ""11.1. Derived categories""
""11.2. Exceptional simple objects""""Chapter 12. Non-commutative cubic surfaces""; ""Appendix A. Two-categories""; ""Appendix B. Summary of notations""; ""Appendix C. Index of terminology""; ""Bibliography""
Record Nr. UNINA-9910807394603321
Bergh M. van den  
Providence, Rhode Island : , : American Mathematical Society, , 2001
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The Lin-Ni's problem for mean convex domains / / Olivier Druet, Frédéric Robert, Juncheng Wei
The Lin-Ni's problem for mean convex domains / / Olivier Druet, Frédéric Robert, Juncheng Wei
Autore Druet Olivier <1976->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2011
Descrizione fisica 1 online resource (105 p.)
Disciplina 515/.3533
Collana Memoirs of the American Mathematical Society
Soggetto topico Neumann problem
Differential equations, Elliptic
Blowing up (Algebraic geometry)
Convex domains
Soggetto genere / forma Electronic books.
ISBN 0-8218-9016-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Abstract""; ""Introduction""; ""Chapter 1. L-bounded solutions""; ""Chapter 2. Smooth domains and extensions of solutions to elliptic equations""; ""Chapter 3. Exhaustion of the concentration points""; ""Chapter 4. A first upper-estimate""; ""Chapter 5. A sharp upper-estimate""; ""Chapter 6. Asymptotic estimates in C1()""; ""Chapter 7. Convergence to singular harmonic functions""; ""1. Convergence at general scale""; ""2. Convergence at appropriate scale""; ""Chapter 8. Estimates of the interior blow-up rates""; ""Chapter 9. Estimates of the boundary blow-up rates""
""Chapter 10. Proof of Theorems 1 and 2""""Appendix A. Construction and estimates on the Green's function""; ""Appendix B. Projection of the test functions""; ""Bibliography""
Record Nr. UNINA-9910480879903321
Druet Olivier <1976->  
Providence, Rhode Island : , : American Mathematical Society, , 2011
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The Lin-Ni's problem for mean convex domains / / Olivier Druet, Frédéric Robert, Juncheng Wei
The Lin-Ni's problem for mean convex domains / / Olivier Druet, Frédéric Robert, Juncheng Wei
Autore Druet Olivier <1976->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2011
Descrizione fisica 1 online resource (105 p.)
Disciplina 515/.3533
Collana Memoirs of the American Mathematical Society
Soggetto topico Neumann problem
Differential equations, Elliptic
Blowing up (Algebraic geometry)
Convex domains
ISBN 0-8218-9016-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Abstract""; ""Introduction""; ""Chapter 1. L-bounded solutions""; ""Chapter 2. Smooth domains and extensions of solutions to elliptic equations""; ""Chapter 3. Exhaustion of the concentration points""; ""Chapter 4. A first upper-estimate""; ""Chapter 5. A sharp upper-estimate""; ""Chapter 6. Asymptotic estimates in C1()""; ""Chapter 7. Convergence to singular harmonic functions""; ""1. Convergence at general scale""; ""2. Convergence at appropriate scale""; ""Chapter 8. Estimates of the interior blow-up rates""; ""Chapter 9. Estimates of the boundary blow-up rates""
""Chapter 10. Proof of Theorems 1 and 2""""Appendix A. Construction and estimates on the Green's function""; ""Appendix B. Projection of the test functions""; ""Bibliography""
Record Nr. UNINA-9910788618503321
Druet Olivier <1976->  
Providence, Rhode Island : , : American Mathematical Society, , 2011
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The Lin-Ni's problem for mean convex domains / / Olivier Druet, Frédéric Robert, Juncheng Wei
The Lin-Ni's problem for mean convex domains / / Olivier Druet, Frédéric Robert, Juncheng Wei
Autore Druet Olivier <1976->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2011
Descrizione fisica 1 online resource (105 p.)
Disciplina 515/.3533
Collana Memoirs of the American Mathematical Society
Soggetto topico Neumann problem
Differential equations, Elliptic
Blowing up (Algebraic geometry)
Convex domains
ISBN 0-8218-9016-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Abstract""; ""Introduction""; ""Chapter 1. L-bounded solutions""; ""Chapter 2. Smooth domains and extensions of solutions to elliptic equations""; ""Chapter 3. Exhaustion of the concentration points""; ""Chapter 4. A first upper-estimate""; ""Chapter 5. A sharp upper-estimate""; ""Chapter 6. Asymptotic estimates in C1()""; ""Chapter 7. Convergence to singular harmonic functions""; ""1. Convergence at general scale""; ""2. Convergence at appropriate scale""; ""Chapter 8. Estimates of the interior blow-up rates""; ""Chapter 9. Estimates of the boundary blow-up rates""
""Chapter 10. Proof of Theorems 1 and 2""""Appendix A. Construction and estimates on the Green's function""; ""Appendix B. Projection of the test functions""; ""Bibliography""
Record Nr. UNINA-9910818810403321
Druet Olivier <1976->  
Providence, Rhode Island : , : American Mathematical Society, , 2011
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Points and curves in the Monster tower / / Richard Montgomery, Michail Zhitomirskii
Points and curves in the Monster tower / / Richard Montgomery, Michail Zhitomirskii
Autore Montgomery R (Richard), <1956->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2009
Descrizione fisica 1 online resource (137 p.)
Disciplina 516.3/6
Collana Memoirs of the American Mathematical Society
Soggetto topico Jet bundles (Mathematics)
Blowing up (Algebraic geometry)
Pfaffian systems
Singularities (Mathematics)
Soggetto genere / forma Electronic books.
ISBN 1-4704-0570-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Abstract""; ""Preface""; ""Chapter 1. Introduction""; ""1.1. The Monster construction""; ""1.2. Coordinates and the contact case""; ""1.3. Symmetries. Equivalence of points of the Monster""; ""1.4. Prolonging symmetries""; ""1.5. The basic theorem""; ""1.6. The Monster and Goursat distributions""; ""1.7. Our approach""; ""1.8. Proof of the basic theorem""; ""1.9. Plan of the paper""; ""Acknowledgements""; ""Chapter 2. Prolongations of integral curves. Regular, vertical, and critical curves and points ""; ""2.1. From Monster curves to Legendrian curves""
""2.2. Prolonging curves""""2.3. Projections and prolongations of local symmetries""; ""2.4. Proof of Theorem 2.2""; ""2.5. From curves to points""; ""2.6. Non-singular points""; ""2.7. Critical curves""; ""2.8. Critical and regular directions and points""; ""2.9. Regular integral curves""; ""2.10. Regularization theorem""; ""2.11. An equivalent definition of a non-singular point""; ""2.12. Vertical and tangency directions and points""; ""Chapter 3. RVT classes. RVT codes of plane curves. RVT and Puiseux""; ""3.1. Definition of RVT classes""
""3.2. Two more definitions of a non-singular point""""3.3. Types of RVT classes. Regular and entirely critical prolongations""; ""3.4. Classification problem: reduction to regular RVT classes""; ""3.5. RVT classes as subsets of PkR2 ""; ""3.6. Why tangency points?""; ""3.7. RVT code of plane curves""; ""3.8. RVT code and Puiseux characteristic""; ""Chapter 4. Monsterization and Legendrization. Reduction theorems""; ""4.1. Definitions and basic properties""; ""4.2. Explicit calculation of the legendrization of RVT classes""; ""4.3. From points to Legendrian curves""
""4.4. Simplest classification results""""4.5. On the implications and shortfalls of Theorems 4.14 and 4.15""; ""4.6. From points to Legendrian curve jets. The jet-identification number ""; ""4.7. The parameterization number""; ""4.8. Evaluating the jet-identification number""; ""4.9. Proof of Proposition 4.44""; ""4.10. From Theorem B to Theorem 4.40""; ""4.11. Proof that critical points do not have a jet-identification number""; ""4.12. Proof of Proposition 4.26""; ""4.13. Conclusions. Things to come""; ""Chapter 5. Reduction algorithm. Examples of classification results""
""5.1. Algorithm for calculating the Legendrization and the parameterization number""""5.2. Reduction algorithm for the equivalence problem""; ""5.3. Reduction algorithm for the classification problem""; ""5.4. Classes of small codimension consisting of a finite number of orbits""; ""5.5. Classification of tower-simple points""; ""5.6. Classes of high codimension consisting of one or two orbits""; ""5.7. Further examples of classification results; Moduli""; ""Chapter 6. Determination of simple points""; ""6.1. Tower-simple and stage-simple points""; ""6.2. Determination theorems""
""6.3. Explicit description of stage-simple RVT classes""
Record Nr. UNINA-9910481011703321
Montgomery R (Richard), <1956->  
Providence, Rhode Island : , : American Mathematical Society, , 2009
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Points and curves in the Monster tower / / Richard Montgomery, Michail Zhitomirskii
Points and curves in the Monster tower / / Richard Montgomery, Michail Zhitomirskii
Autore Montgomery R (Richard), <1956->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2009
Descrizione fisica 1 online resource (137 p.)
Disciplina 516.3/6
Collana Memoirs of the American Mathematical Society
Soggetto topico Jet bundles (Mathematics)
Blowing up (Algebraic geometry)
Pfaffian systems
Singularities (Mathematics)
ISBN 1-4704-0570-9
Classificazione SI 130
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Abstract""; ""Preface""; ""Chapter 1. Introduction""; ""1.1. The Monster construction""; ""1.2. Coordinates and the contact case""; ""1.3. Symmetries. Equivalence of points of the Monster""; ""1.4. Prolonging symmetries""; ""1.5. The basic theorem""; ""1.6. The Monster and Goursat distributions""; ""1.7. Our approach""; ""1.8. Proof of the basic theorem""; ""1.9. Plan of the paper""; ""Acknowledgements""; ""Chapter 2. Prolongations of integral curves. Regular, vertical, and critical curves and points ""; ""2.1. From Monster curves to Legendrian curves""
""2.2. Prolonging curves""""2.3. Projections and prolongations of local symmetries""; ""2.4. Proof of Theorem 2.2""; ""2.5. From curves to points""; ""2.6. Non-singular points""; ""2.7. Critical curves""; ""2.8. Critical and regular directions and points""; ""2.9. Regular integral curves""; ""2.10. Regularization theorem""; ""2.11. An equivalent definition of a non-singular point""; ""2.12. Vertical and tangency directions and points""; ""Chapter 3. RVT classes. RVT codes of plane curves. RVT and Puiseux""; ""3.1. Definition of RVT classes""
""3.2. Two more definitions of a non-singular point""""3.3. Types of RVT classes. Regular and entirely critical prolongations""; ""3.4. Classification problem: reduction to regular RVT classes""; ""3.5. RVT classes as subsets of PkR2 ""; ""3.6. Why tangency points?""; ""3.7. RVT code of plane curves""; ""3.8. RVT code and Puiseux characteristic""; ""Chapter 4. Monsterization and Legendrization. Reduction theorems""; ""4.1. Definitions and basic properties""; ""4.2. Explicit calculation of the legendrization of RVT classes""; ""4.3. From points to Legendrian curves""
""4.4. Simplest classification results""""4.5. On the implications and shortfalls of Theorems 4.14 and 4.15""; ""4.6. From points to Legendrian curve jets. The jet-identification number ""; ""4.7. The parameterization number""; ""4.8. Evaluating the jet-identification number""; ""4.9. Proof of Proposition 4.44""; ""4.10. From Theorem B to Theorem 4.40""; ""4.11. Proof that critical points do not have a jet-identification number""; ""4.12. Proof of Proposition 4.26""; ""4.13. Conclusions. Things to come""; ""Chapter 5. Reduction algorithm. Examples of classification results""
""5.1. Algorithm for calculating the Legendrization and the parameterization number""""5.2. Reduction algorithm for the equivalence problem""; ""5.3. Reduction algorithm for the classification problem""; ""5.4. Classes of small codimension consisting of a finite number of orbits""; ""5.5. Classification of tower-simple points""; ""5.6. Classes of high codimension consisting of one or two orbits""; ""5.7. Further examples of classification results; Moduli""; ""Chapter 6. Determination of simple points""; ""6.1. Tower-simple and stage-simple points""; ""6.2. Determination theorems""
""6.3. Explicit description of stage-simple RVT classes""
Record Nr. UNINA-9910788857503321
Montgomery R (Richard), <1956->  
Providence, Rhode Island : , : American Mathematical Society, , 2009
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Points and curves in the Monster tower / / Richard Montgomery, Michail Zhitomirskii
Points and curves in the Monster tower / / Richard Montgomery, Michail Zhitomirskii
Autore Montgomery R (Richard), <1956->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2009
Descrizione fisica 1 online resource (137 p.)
Disciplina 516.3/6
Collana Memoirs of the American Mathematical Society
Soggetto topico Jet bundles (Mathematics)
Blowing up (Algebraic geometry)
Pfaffian systems
Singularities (Mathematics)
ISBN 1-4704-0570-9
Classificazione SI 130
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Abstract""; ""Preface""; ""Chapter 1. Introduction""; ""1.1. The Monster construction""; ""1.2. Coordinates and the contact case""; ""1.3. Symmetries. Equivalence of points of the Monster""; ""1.4. Prolonging symmetries""; ""1.5. The basic theorem""; ""1.6. The Monster and Goursat distributions""; ""1.7. Our approach""; ""1.8. Proof of the basic theorem""; ""1.9. Plan of the paper""; ""Acknowledgements""; ""Chapter 2. Prolongations of integral curves. Regular, vertical, and critical curves and points ""; ""2.1. From Monster curves to Legendrian curves""
""2.2. Prolonging curves""""2.3. Projections and prolongations of local symmetries""; ""2.4. Proof of Theorem 2.2""; ""2.5. From curves to points""; ""2.6. Non-singular points""; ""2.7. Critical curves""; ""2.8. Critical and regular directions and points""; ""2.9. Regular integral curves""; ""2.10. Regularization theorem""; ""2.11. An equivalent definition of a non-singular point""; ""2.12. Vertical and tangency directions and points""; ""Chapter 3. RVT classes. RVT codes of plane curves. RVT and Puiseux""; ""3.1. Definition of RVT classes""
""3.2. Two more definitions of a non-singular point""""3.3. Types of RVT classes. Regular and entirely critical prolongations""; ""3.4. Classification problem: reduction to regular RVT classes""; ""3.5. RVT classes as subsets of PkR2 ""; ""3.6. Why tangency points?""; ""3.7. RVT code of plane curves""; ""3.8. RVT code and Puiseux characteristic""; ""Chapter 4. Monsterization and Legendrization. Reduction theorems""; ""4.1. Definitions and basic properties""; ""4.2. Explicit calculation of the legendrization of RVT classes""; ""4.3. From points to Legendrian curves""
""4.4. Simplest classification results""""4.5. On the implications and shortfalls of Theorems 4.14 and 4.15""; ""4.6. From points to Legendrian curve jets. The jet-identification number ""; ""4.7. The parameterization number""; ""4.8. Evaluating the jet-identification number""; ""4.9. Proof of Proposition 4.44""; ""4.10. From Theorem B to Theorem 4.40""; ""4.11. Proof that critical points do not have a jet-identification number""; ""4.12. Proof of Proposition 4.26""; ""4.13. Conclusions. Things to come""; ""Chapter 5. Reduction algorithm. Examples of classification results""
""5.1. Algorithm for calculating the Legendrization and the parameterization number""""5.2. Reduction algorithm for the equivalence problem""; ""5.3. Reduction algorithm for the classification problem""; ""5.4. Classes of small codimension consisting of a finite number of orbits""; ""5.5. Classification of tower-simple points""; ""5.6. Classes of high codimension consisting of one or two orbits""; ""5.7. Further examples of classification results; Moduli""; ""Chapter 6. Determination of simple points""; ""6.1. Tower-simple and stage-simple points""; ""6.2. Determination theorems""
""6.3. Explicit description of stage-simple RVT classes""
Record Nr. UNINA-9910827647103321
Montgomery R (Richard), <1956->  
Providence, Rhode Island : , : American Mathematical Society, , 2009
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Supported blow-up and prescribed scalar curvature on Sn / / Man Chun Leung
Supported blow-up and prescribed scalar curvature on Sn / / Man Chun Leung
Autore Leung Man Chun <1963->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2011
Descrizione fisica 1 online resource (99 p.)
Disciplina 515.3533
Collana Memoirs of the American Mathematical Society
Soggetto topico Blowing up (Algebraic geometry)
Curvature
Transformations (Mathematics)
Differential equations, Elliptic
Soggetto genere / forma Electronic books.
ISBN 1-4704-0619-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. The Subcritical Approach""; ""Chapter 3. Simple, Towering, Aggregated and Clustered Blow-ups""; ""Chapter 4. Supported and Collapsed Blow-ups""; ""Chapter 5. Toward Isolated Blow-ups""; ""Chapter 6. Toward Supported Blow-up for (0) > 0 � Excluding Simple Blow-up""; ""Chapter 7. Excluding Collapsed Isolated Blow-up (Hesso (0) Positive Definite)""; ""Chapter 8. Close Up""; ""Chapter 9. Single Simple Blow-up and the Proof of the Main Theorem""; ""Bibliography""
Record Nr. UNINA-9910481023403321
Leung Man Chun <1963->  
Providence, Rhode Island : , : American Mathematical Society, , 2011
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