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Record Nr. |
UNINA9910809677803321 |
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Autore |
Liu Qing <1963 July-> |
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Titolo |
Algebraic geometry and arithmetic curves / / Qing Liu ; translated by Reinie Erne |
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Pubbl/distr/stampa |
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Oxford : , : Oxford University Press, , 2023 |
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ISBN |
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1-383-02049-3 |
0-19-850284-2 |
1-281-34139-8 |
0-19-154780-8 |
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Descrizione fisica |
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1 online resource (594 p.) |
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Collana |
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Oxford graduate texts in mathematics ; ; 6 |
Oxford scholarship online |
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Disciplina |
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Soggetti |
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Curves, Algebraic |
Arithmetical algebraic geometry |
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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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Includes index. |
Translated from the French |
Previously issued in print: 2002. |
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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; 1 Some topics in commutative algebra; 2 General properties of schemes; 3 Morphisms and base change; 4 Some local properties; 5 Coherent sheaves and Cech cohomology; 6 Sheaves of differentials; 7 Divisors and applications to curves; 8 Birational geometry of surfaces; 9 Regular surfaces; 10 Reduction of algebraic curves; Bibliography; Index |
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Sommario/riassunto |
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This work offers a general introduction to the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. |
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