Algebraic Geometry I: Schemes With Examples and Exercises
This book introduces the reader to modern algebraic geometry. It presents Grothendieck's technically demanding language of schemes that is the basis of the most important developments in the last fifty years within this area. A systematic treatment and motivation of the theory is emphasized, us...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Wiesbaden
Springer Fachmedien Wiesbaden
2020, 2020
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| Edition: | 2nd ed. 2020 |
| Series: | Springer Studium Mathematik - Master
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Introduction
- 1 Prevarieties
- 2 Spectrum of a Ring
- 3 Schemes
- 4 Fiber products
- 5 Schemes over fields
- 6 Local Properties of Schemes
- 7 Quasi-coherent modules
- 8 Representable Functors
- 9 Separated morphisms
- 10 Finiteness Conditions
- 11 Vector bundles
- 12 Affine and proper morphisms
- 13 Projective morphisms
- 14 Flat morphisms and dimension
- 15 One-dimensional schemes
- 16 Examples.