| Description |
1 online resource (v, 105 pages) |
| Series |
Memoirs of the American Mathematical Society, 0065-9266 ; volume 257, number 1234 |
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Memoirs of the American Mathematical Society ; no. 1234. 0065-9266
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| 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 |
| Summary |
Given n general points p_1, p_2, \ldots, p_n \in \mathbb P̂r, it is natural to ask when there exists a curve C \subset \mathbb P̂r, 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 hyperplane section. This result is a consequence of our main theorem, which states that the normal bundle N_C of a general nonspecial curve of degree d and genus g in \mathbb P̂r (with d \geq g + r) has the property of interpolation (i.e. that for a general effective divisor D of any degree on C, either H |
| Notes |
"January 2019, volume 257, number 1234 (fourth of 6 numbers)." |
| Bibliography |
Includes bibliographical references (page 105) |
| Notes |
Print version record |
| Subject |
Curves, Algebraic.
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Projective spaces.
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Geometry, Projective.
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Geometría proyectiva
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Curvas algebraicas
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Módulos (Álgebra)
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Curves, Algebraic
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Geometry, Projective
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Projective spaces
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| Form |
Electronic book
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| Author |
Larson, Eric, 1991- author.
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Yang, David, 1997- author.
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| ISBN |
147044951X |
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9781470449513 |
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