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