Loading…

Interpolation for normal bundles of general curves /

Given n general points p_1, p_2, \ldots, p_n \in \mathbb P^r, it is natural to ask when there exists a curve C \subset \mathbb P^r, of degree d and genus g, passing through p_1, p_2, \ldots, p_n. In this paper, the authors give a complete answer to this question for curves C with nonspecial hyperpla...

Full description

Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Atanasov, Atanas, 1988- (Author), Larson, Eric, 1991- (Author), Yang, David, 1997- (Author)
Format: Electronic eBook
Language:Inglés
Published: Providence, RI : American Mathematical Society, 2019
Series:Memoirs of the American Mathematical Society ; no. 1234.
Subjects:
Online Access:Texto completo
Table of Contents:
  • Chapter 1. Introduction Chapter 2. Elementary modifications in arbitrary dimension Chapter 3. Elementary modifications for curves Chapter 4. Interpolation and short exact sequences Chapter 5. Elementary modifications of normal bundles Chapter 6. Examples of the bundles $N_{C \to \Lambda }$ Chapter 7. Interpolation and specialization Chapter 8. Reducible curves and their normal bundles Chapter 9. A stronger inductive hypothesis Chapter 10. Inductive arguments Chapter 11. Base cases Chapter 12. Summary of Remainder of Proof of Theorem 1.2 Chapter 13. The three exceptional cases Appendix A. Remainder of Proof of Theorem 1.2 Appendix B. Code for Chapter 4