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[null,"1.","Record Nr.",null,"UNINA9910479980403321"]
[null,null,"Autore",null,"Bergh M. van den"]
[null,null,"Titolo",null,"Blowing up of non-commutative smooth surfaces / / Michel Van den Bergh"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , 2001"]
[null,null,"ISBN",null,"1-4704-0327-7"]
[null,null,"Descrizione fisica",null,"1 online resource (157 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 734"]
[null,null,"Disciplina",null,"510 s"]
[{"$nulls":4},"516.3/6"]
[null,null,"Soggetti",null,"Noncommutative differential geometry"]
[{"$nulls":4},"Blowing up (Algebraic geometry)"]
[{"$nulls":4},"Electronic books."]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"November 2001, volume 154, number 734 (end of volume).\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references (pages 139-140) and index."]
[null,null,"Nota di contenuto",null,"\"\"Contents\"\"; \"\"Chapter 1. Introduction\"\"; \"\"1.1. Motivation\"\"; \"\"1.2. Construction\"\"; \"\"1.3. General properties\"\"; \"\"1.4. Non-commutative Del-Pezzo surfaces\"\"; \"\"1.5. Exceptional simple objects\"\"; \"\"1.6. Non-commutative cubic surfaces\"\"; \"\"1.7. Acknowledgement\"\"; \"\"Chapter 2. Preliminaries on category theory\"\"; \"\"Chapter 3. Non-commutative geometry\"\"; \"\"3.1. Bimodules\"\"; \"\"3.2. Graded modules, bimodules and algebras\"\"; \"\"3.3. Quotients of the identity functor\"\"; \"\"3.4. Ideals in the identity functor\"\"; \"\"3.5. Quasi-schemes\"\"; \"\"3.6. Divisors\"\"; \"\"3.7. Proj\"\""]
[{"$nulls":4},"\"\"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\"\""]
[{"$nulls":4},"\"\"5.7. Multiplicities in the case that Ï? has infinite order\"\"\"\"Chapter 6. Blowing up a point on a commutative divisor\"\"; \"\"6.1. Some ideals\"\"; \"\"6.2. Some Rees algebras\"\"; \"\"6.3. Definition of blowing up\"\"; \"\"6.4. The normal bundle\"\"; \"\"6.5. Birationality\"\"; \"\"6.6. The exceptional curve\"\"; \"\"6.7. The structure of the exceptional curve\"\"; \"\"6.8. The strict transform\"\"; \"\"6.9. A result on K[sub(0)] of some categories\"\"; \"\"Chapter "]
[{"$nulls":4},"7. Derived categories\"\"; \"\"7.1. Generalities\"\"; \"\"7.2. Admissible compositions of morphisms between quasi-schemes\"\""]
[{"$nulls":4},"\"\"Chapter 8. The derived category of a non-commutative blowup\"\"\"\"8.1. The formalism of semi-orthogonal decompositions\"\"; \"\"8.2. Generalities\"\"; \"\"8.3. Computation of some derived functors\"\"; \"\"8.4. The main theorem\"\"; \"\"Chapter 9. Some results on graded algebras and their sections\"\"; \"\"9.1. Generalities\"\"; \"\"9.2. The case of a blowing up\"\"; \"\"Chapter 10. Quantum plane geometry\"\"; \"\"10.1. Multiplicities of some objects\"\"; \"\"10.2. Classification of lines and conics\"\"; \"\"Chapter 11. Blowing up n points in an elliptic quantum plane\"\"; \"\"11.1. Derived categories\"\""]
[{"$nulls":4},"\"\"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\"\""]