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Algebraic Geometry

About this Title

Masayoshi Miyanishi, Kwansei Gakuin University

Publication: Translations of Mathematical Monographs
Publication Year: 1994; Volume 136
ISBNs: 978-0-8218-0918-1 (print); 978-1-4704-4544-7 (online)
DOI: https://doi.org/10.1090/mmono/136
MathSciNet review: MR1284715
MSC: Primary 14-01; Secondary 13-01, 14Exx, 14Jxx

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Table of Contents

Front/Back Matter

• View this volume's front and back matter

Part I. Preliminaries

• Chapter 1. Theorem of Luroth
• Chapter 2. Theory of sheaves and cohomologies

Part II. Schemes and algebraic varieties

• Chapter 3. Affine schemes and algebraic varieties
• Chapter 4. Schemes and algebraic varieties
• Chapter 5. Projective schemes and projective algebraic varieties
• Chapter 6. Nonsingular algebraic varieties

Part III. Algebraic Surfaces

• Chapter 7. Algebraic curves
• Chapter 8. Intersection theory on algebraic surfaces
• Chapter 9. Pencils of curves
• Chapter 10. The Riemann-Roch theorem for algebraic surfaces
• Chapter 11. Minimal algebraic surfaces
• Chapter 12. Ruled surfaces and rational surfaces
• Solutions to problems

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