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Record Nr. |
UNISA996466373203316 |
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Autore |
Accola Robert D. M. <1929-> |
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Titolo |
Topics in the theory of Riemann surfaces / / Robert D. M. Accola |
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Pubbl/distr/stampa |
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Berlin : , : Springer, , [1994] |
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©1994 |
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ISBN |
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Edizione |
[1st ed. 1994.] |
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Descrizione fisica |
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1 online resource (X, 110 p.) |
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Collana |
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Lecture Notes in Mathematics ; ; 1595 |
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Disciplina |
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Soggetti |
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Geometry, Algebraic |
Riemann surfaces |
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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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Bibliographic Level Mode of Issuance: Monograph |
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Nota di contenuto |
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Review of some basic concepts in the theory of Riemann surfaces -- Some exceptional points on Riemann surfaces -- The inequality of Castelnuovo-Severi -- Smooth and branched coverings of Riemann surfaces -- Automorphisms of Riemann surfaces, I -- When are fixed points of automorphisms exceptional in some other sense? -- Automorphisms of Riemann surfaces, II; N(p). |
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Sommario/riassunto |
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The book's main concern is automorphisms of Riemann surfaces, giving a foundational treatment from the point of view of Galois coverings, and treating the problem of the largest automorphism group for a Riemann surface of a given genus. In addition, the extent to which fixed points of automorphisms are generalized Weierstrass points is considered. The extremely useful inequality of Castelnuovo- Severi is also treated. While the methods are elementary, much of the material does not appear in the current texts on Riemann surfaces, algebraic curves. The book is accessible to a reader who has had an introductory course on the theory of Riemann surfaces or algebraic curves. |
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