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Cohomology Groups and Genera of Higher-Dimensional Fields
| eBook ISBN: | 978-0-8218-9970-0 |
| Product Code: | MEMO/1/28.E |
| List Price: | $18.00 |
| MAA Member Price: | $16.20 |
| AMS Member Price: | $14.40 |
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Cohomology Groups and Genera of Higher-Dimensional Fields
| eBook ISBN: | 978-0-8218-9970-0 |
| Product Code: | MEMO/1/28.E |
| List Price: | $18.00 |
| MAA Member Price: | $16.20 |
| AMS Member Price: | $14.40 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 1; 1957; 100 ppMSC: Primary 14
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Table of Contents
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Chapters
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Introduction
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1. Direct and inverse limits
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2. Regular mappings and sheaf homomorphisms
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3. Transitive systems of sheaves and their limits
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4. Transitive systems and their cohomology groups
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5. Exact sequences of transitive systems
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6. Exact cohomology sequences for transitive systems
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7. The Zariski topology
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8. The sheaf of local rings
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9. The transitive system of projective models
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10. The Riemann manifold
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11. The sheaf of valuation rings, cohomology groups and genera ofE
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12. The sheaf of valuation rings as limit of the transitive system of projective models
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13. Affine models
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14. Affine models under birational transformations
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15. Cohomology groups under birational transformations
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16. The class Ct
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17. Cohomology groups under normalization
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18. The geometric genus of E/K
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19. Subvarieties
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20. The map induced by a place
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21. The exact cohomology sequence, associated with a place
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Requests
-
Chapters
-
Introduction
-
1. Direct and inverse limits
-
2. Regular mappings and sheaf homomorphisms
-
3. Transitive systems of sheaves and their limits
-
4. Transitive systems and their cohomology groups
-
5. Exact sequences of transitive systems
-
6. Exact cohomology sequences for transitive systems
-
7. The Zariski topology
-
8. The sheaf of local rings
-
9. The transitive system of projective models
-
10. The Riemann manifold
-
11. The sheaf of valuation rings, cohomology groups and genera ofE
-
12. The sheaf of valuation rings as limit of the transitive system of projective models
-
13. Affine models
-
14. Affine models under birational transformations
-
15. Cohomology groups under birational transformations
-
16. The class Ct
-
17. Cohomology groups under normalization
-
18. The geometric genus of E/K
-
19. Subvarieties
-
20. The map induced by a place
-
21. The exact cohomology sequence, associated with a place
Review Copy – for publishers of book reviews
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