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Record Nr. |
UNINA9910784711803321 |
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Autore |
Liu Qing <1963-> |
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Titolo |
Algebraic geometry and arithmetic curves [[electronic resource] /] / Qing Liu ; translated by Reinie ErneĢ |
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Pubbl/distr/stampa |
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Oxford ; ; New York, : Oxford University Press, 2006 |
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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 science publications |
Oxford graduate texts in mathematics ; ; 6 |
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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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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references (p. [557]-561) 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 new-in-paperback edition provides an introduction to algebraic and arithmetic geometry, starting with the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. Clear explanations of both theory and applications, and almost 600 exercises are included in the text. - ;This new-in-paperback edition provides a general introduction to algebraic and arithmetic geometry, starting with the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. The first part introduces b |
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