Introduction; 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 cohmology; 6. Sheaves of differentials; 7. Divisors and applications to curves; 8. Birational geometry of surfaces; 9. Regular
Algebraic Geometry and Arithmetic Curves
β Scribed by Qing Liu
- Publisher
- Oxford University Press, USA
- Year
- 2002
- Tongue
- English
- Leaves
- 592
- Series
- Oxford Graduate Texts in Mathematics, 6
- Edition
- 1st
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
This book together with Matsumura on Commutative Algebra and Hartschone on Algebraic Geometry is an excellent book to learn the subject. I am really enjoying it.
π SIMILAR VOLUMES
This book is a general introduction to 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 T
This book is a general introduction to 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 T
The articles in this volume are expanded versions of lectures delivered at the Graduate Summer School and at the Mentoring Program for Women in Mathematics held at the Institute for Advanced Study/Park City Mathematics Institute. The theme of the program was arithmetic algebraic geometry. The choice
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