Contents

Chapters in this book

1. Frontmatter i
2. Preface v
3. Contents vii
4. Chapter I. Algebraic Foundations 1
5. Chapter II. Algebraic Varieties: Fundamental Concepts 16
6. Chapter III. Transformations of Algebraic Varieties 47
7. Chapter IV. Formal Power Series 78
8. Chapter V. Algebraic Curves, their Places and Transformations 98
9. Chapter VI. Linear Series 135
10. Chapter VII. Abelian Differentials 155
11. Chapter VIII. Abel's Theorem. Algebraic Series and Correspondences 176
12. Chapter IX. Systems of Curves on a Surface 196
13. Appendix 224
14. Bibliography 226
15. List of Symbols Most Frequently Used in the Text 229
16. Index 231