Preface
Preface of the First Edition
1.Schemes and Coherent Sheaves
1.1Presheaves and Sheaves
1.2Schemes and Morphisms
1.3Properties of Schemes and Morphisms
1.4Coherent Sheaves
1.5Formal Completions of Schemes and Sheaves
2.Cohomology
2.1Derived Functors
2.2Spectral Sequences
2.3Cech Cohomology
2.4Cohomology of Affine and Projective Schemes
2.5Cohomological Study of Proper Morphisms
2.6Local Freeness of Higher Direct Images
2.7Grothendieck's Existence Theorem
Bibliography
Index