| Description |
1 online resource (xv, 577 pages) : illustrations |
| Series |
Oxford science publications |
|
Oxford graduate texts in mathematics ; 6 |
|
Oxford science publications.
|
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Oxford graduate texts in mathematics ; 6.
|
| 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 |
| Summary |
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 |
| Bibliography |
Includes bibliographical references (pages 557-561) and index |
| Notes |
English |
|
Print version record |
| Subject |
Curves, Algebraic.
|
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Arithmetical algebraic geometry.
|
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MATHEMATICS -- Geometry -- Algebraic.
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Arithmetical algebraic geometry
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Curves, Algebraic
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Algebraische Geometrie
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Algebraische Kurve
|
| Form |
Electronic book
|
| ISBN |
9780191547805 |
|
0191547808 |
|
0198502842 |
|
9780198502845 |
|
1281341398 |
|
9781281341396 |
|
0199202494 |
|
9780199202492 |
|
