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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 | ||
| ||
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 | ||
| ||
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 | ||
| ||