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Algebraic geometry and arithmetic curves /
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 basic objects such as schemes, morphi...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés Francés |
| Publicado: |
Oxford ; New York :
Oxford University Press,
2006.
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| Colección: | Oxford science publications.
Oxford graduate texts in mathematics ; 6. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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 basic objects such as schemes, morphisms, base change, local properties (normality, regularity, Zariski's Main Theorem). This is followed by the more global aspect: coherent sheaves and a finiteness theorem for their cohomology groups. Then follows a chapter on sheaves of differentials, dualizing sheaves, and Grothendieck's duality th. |
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| Descripción Física: | 1 online resource (xv, 577 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 557-561) and index. |
| ISBN: | 9780191547805 0191547808 0198502842 9780198502845 1281341398 9781281341396 0199202494 9780199202492 |