ÉTALE MORPHISMS OF SCHEMES Contents 1. Introduction 1 2 ...

• exposé - matière potentielle : for general schemes
• exposé

ETALE MORPHISMS OF SCHEMES Contents 1. Introduction 1 2. Conventions 2 3. Unramified morphisms 2 4. Three other characterizations of unramified morphisms 4 5. The functorial characterization of unramified morphisms 5 6. Topological properties of unramified morphisms 6 7. Universally injective, unramified morphisms 7 8. Examples of unramified morphisms 8 9. Flat morphisms 9 10. Topological properties of flat morphisms 11 11. Etale morphisms 11 12. The structure theorem 13 13.

• unramified morphisms
• etale morphisms of schemes contents
• unramified homomorphism of local rings
• differentials
• etale morphisms of schemes
• ramification locus
• projective modules
• ring map
• module