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[null,"1.","Record Nr.",null,"UNINA9910788855703321"]
[null,null,"Autore",null,"Kussin Dirk <1967->"]
[null,null,"Titolo",null,"Noncommutative curves of genus zero : related to finite dimensional algebras / / Dirk Kussin"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , 2009"]
[{"$nulls":4},"©2009"]
[null,null,"ISBN",null,"1-4704-0556-3"]
[null,null,"Descrizione fisica",null,"1 online resource (146 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 201, Number 942"]
[null,null,"Disciplina",null,"516.3/52"]
[null,null,"Soggetti",null,"Curves, Algebraic"]
[{"$nulls":4},"Representations of rings (Algebra)"]
[{"$nulls":4},"Noncommutative algebras"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"Volume 201, Number 942 (first of 5 numbers).\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"\"\"Contents\"\"; \"\"Introduction\"\"; \"\"Chapter 0. Background\"\"; \"\"0.1. Notation\"\"; \"\"0.2. One-parameter families, generic modules and tameness\"\"; \"\"0.3. Canonical algebras and exceptional curves\"\"; \"\"0.4. Tubular shifts\"\"; \"\"0.5. Tame bimodules and homogeneous exceptional curves\"\"; \"\"0.6. Rational points\"\"; \"\"Part 1. The homogeneous case\"\"; \"\"Chapter 1. Graded factoriality\"\"; \"\"1.1. Efficient automorphisms\"\"; \"\"1.2. Prime ideals and universal extensions\"\"; \"\"1.3. Prime ideals as annihilators\"\"; \"\"1.4. Noetherianness\"\"; \"\"1.5. Prime ideals of height one are principal\"\""]
[{"$nulls":4},"\"\"1.6. Unique factorization\"\"\"\"1.7. Examples of graded factorial domains\"\"; \"\"The non-simple bimodule case\"\"; \"\"The quaternion case\"\"; \"\"The square roots case\"\"; \"\"Chapter 2. Global and local structure of the sheaf category\"\"; \"\"2.1. Serre's theorem\"\"; \"\"2.2. Localization at prime ideals\"\"; \"\"2.3. Noncommutativity and the multiplicities\"\"; \"\"2.4. Localizing with respect to the powers of a prime element\"\"; \"\"2.5. Zariski topology and sheafification\"\"; \"\"Chapter 3. Tubular shifts and prime elements\"\"; \"\"3.1. Central prime elements\"\"; \"\"3.2. Non-central prime elements and ghosts\"\""]
[{"$nulls":4},"\"\"Chapter 4. Commutativity and multiplicity freeness\"\"\"\"4.1. Finiteness over the centre\"\"; \"\"4.2. Commutativity of the coordinate algebra\"\"; \"\"4.3. Commutativity of the function field\"\"; \"\"Chapter 5. Automorphism groups\"\"; \"\"5.1. The automorphism group of a homogeneous curve\"\"; \"\"5.2. The structure of Aut(H)\"\"; \"\"5.3. The twisted polynomial case\"\"; "]
[{"$nulls":4},"\"\"5.4. On the Auslander-Reiten translation as functor\"\"; \"\"5.5. The quaternion case\"\"; \"\"5.6. The homogeneous curves over the real numbers\"\"; \"\"5.7. Homogeneous curves with finite automorphism group\"\"; \"\"Part 2. The weighted case\"\""]
[{"$nulls":4},"\"\"Chapter 6. Insertion of weights\"\"\"\"6.1. p-cycles\"\"; \"\"6.2. Insertion of weights into central primes\"\"; \"\"6.3. Automorphism groups for weighted curves\"\"; \"\"Chapter 7. Exceptional objects\"\"; \"\"7.1. Transitivity of the braid group action\"\"; \"\"7.2. Exceptional objects and graded factoriality\"\"; \"\"Chapter 8. Tubular exceptional curves\"\"; \"\"8.1. Slope categories and the rational helix\"\"; \"\"8.2. The index of a tubular exceptional curve\"\"; \"\"8.3. A tubular curve of index three\"\"; \"\"8.4. A related tubular curve of index two\"\"; \"\"8.5. Line bundles which are not exceptional\"\""]
[{"$nulls":4},"\"\"Appendix A. Automorphism groups over the real numbers\"\"\"\"A.1. Tables for the domestic and tubular cases\"\"; \"\"Appendix B. The tubular symbols\"\"; \"\"Bibliography\"\"; \"\"Index\"\"; \"\"A\"\"; \"\"C\"\"; \"\"D\"\"; \"\"E\"\"; \"\"F\"\"; \"\"G\"\"; \"\"H\"\"; \"\"I\"\"; \"\"K\"\"; \"\"L\"\"; \"\"M\"\"; \"\"O\"\"; \"\"P\"\"; \"\"Q\"\"; \"\"R\"\"; \"\"S\"\"; \"\"T\"\"; \"\"U\"\""]