Algebraic Geometry Part 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
Vieweg+Teubner Verlag
2010, 2010
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| Edition: | 1st ed. 2010 |
| Series: | Advanced Lectures in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Prevarieties
- Spectrum of a Ring
- Schemes
- Fiber products
- Schemes over fields
- Local Properties of Schemes
- Quasi-coherent modules
- Representable Functors
- Separated morphisms
- Finiteness Conditions
- Vector bundles
- Affine and proper morphisms
- Projective morphisms
- Flat morphisms and dimension
- One-dimensional schemes
- Examples