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What is Interpolation for Normal Bundles of General Curves about?

Cover 1 Title page 2 Chapter 1. Introduction 8 Chapter 2. Elementary modifications in arbitrary dimension 12 Chapter 3. Elementary modifications for curves 24 Chapter 4. Interpolation and short exact sequences 28 Chapter 5. Elementary modifications of normal bundles 36 Chapter 6. Examples of the bundles N_{C→Λ} 38 Chapter 7. Interpolation and specialization 42 Chapter 8. Reducible curves and their normal bundles 44 Chapter 9. A stronger inductive hypothesis 52 Chapter 10. Inductive arguments 56 Chapter 11. Base cases 68 Chapter 12. Summary of Remainder of Proof of Theorem 1.2 72 Chapter 13. The three exceptional cases 74 Appendix A. Remainder of Proof of Theorem 1.2 78 1. Compatibility with (9.1) 78 2. Interpolation for rational curves 79 3. Space curves 81 4. Curves in low dimensional projective spaces 83 5. Curves in high dimensional projective spaces 87 Appendix B. Code for Chapter 4 100 Acknowledgments 110 Bibliography 112 Back Cover 118

Author

Atanas Atanasov, Eric Larson and David Yang

Language

EN