Guide for the Reader List of Symbols Chapter IX. The Hilbert Scheme 1. Introduction 2. The idea of the Hilbert scheme 3. Flatness 4. Construction of the Hilbert scheme 5. The characteristic system 6. Mumford's example 7. Variants of the Hilbert scheme 8. Tangent space computations 9. Cn families of projective manifolds 10. Bibliographical notes and further reading 11. Exercises Chapter X. Nodal curves 1. Introduction 2. Elementary theory of nodal curves 3. Stable curves 4. Stable reduction 5. Isomorphisms of families of stable curves 6. The stable model, contraction, and projection 7. Clutching 8. Stabilization ……
