Table of Contents

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 surfaces
10: Reduction of algebraic curves
Bibilography
Index

Reviews

Will be useful to graduate students as an introduction to arithmetic algebraic geometry, and to more advanced readers and experts in the field. EMS This book is unique in the current literature on algebraic and arithmetic geometry, therefore a highly welcome addition to it, and particularly suitable for readers who want to approach more specialized works in this field with more ease. The exposition is exceptionally lucid, rigorous, coherent and comprehensive. Zentralblatt MATH A thorough and far-reaching introduction to algebraic geometry in its scheme-theoretic setting ... The rich bibliography with nearly 100 references enhances the value of this textbook as a great introduction and source for research. Zentralblatt MATH