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1. |
Record Nr. |
UNINA9910480625603321 |
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Autore |
Kussin Dirk <1967-> |
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Titolo |
Noncommutative curves of genus zero : related to finite dimensional algebras / / Dirk Kussin |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2009 |
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©2009 |
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ISBN |
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Descrizione fisica |
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1 online resource (146 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 201, Number 942 |
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Disciplina |
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Soggetti |
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Curves, Algebraic |
Representations of rings (Algebra) |
Noncommutative algebras |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 201, Number 942 (first of 5 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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""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"" |
""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"" |
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""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""; ""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"" |
""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"" |
""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"" |
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2. |
Record Nr. |
UNISA996396614003316 |
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Autore |
Day Angel <fl. 1575-1595.> |
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Titolo |
The English secretorie, or, Methode of writing of epistles and letters [[electronic resource] ] : with a declaration of such tropes, figures and schemes as either vsually, or for ornament-sake are therein required. Also the parts and office of a secretorie. Diuided into two bookes. Now newly reuised, and in many parts corrected and amended: by Angel Day |
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Pubbl/distr/stampa |
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London, : Printed by Thomas Snodham, [1625] |
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Descrizione fisica |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"The second part of the English secretorie" has caption title on L3r; pagination is separate. "A declaration of all such tropes and figures or schemes as for excellencie and ornament in writing, are especially vsed in this methode" has separate title page dated 1625; pagination and register are continuous. |
With three final contents leaves. |
Identified as STC 6407b on UMI microfilm reel 1303. |
Reproductions of the originals in the Harvard University. Library. and the University of Illinois (Urbana-Champaign Campus). Library. |
Appears at reel 1303 (Harvard University. Library. copy) and at reel 1831 (University of Illinois (Urbana-Champaign Campus). Library. copy). |
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Sommario/riassunto |
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