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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, RI :
American Mathematical Society,
2019
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| Colección: | Memoirs of the American Mathematical Society ;
no. 1234. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 003 | OCoLC | ||
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| 100 | 1 | |a Atanasov, Atanas, |d 1988- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjCPGVF8qKfK4GcY9JtGRC | |
| 245 | 1 | 0 | |a Interpolation for normal bundles of general curves / |c Atanas Atanasov, Eric Larson, David Yang. |
| 264 | 1 | |a Providence, RI : |b American Mathematical Society, |c 2019 | |
| 264 | 4 | |c ©2019 | |
| 300 | |a 1 online resource (v, 105 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 0065-9266 ; |v volume 257, number 1234 | |
| 500 | |a "January 2019, volume 257, number 1234 (fourth of 6 numbers)." | ||
| 504 | |a Includes bibliographical references (page 105) | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | 0 | |t Chapter 1. Introduction |t Chapter 2. Elementary modifications in arbitrary dimension |t Chapter 3. Elementary modifications for curves |t Chapter 4. Interpolation and short exact sequences |t Chapter 5. Elementary modifications of normal bundles |t Chapter 6. Examples of the bundles $N_{C \to \Lambda }$ |t Chapter 7. Interpolation and specialization |t Chapter 8. Reducible curves and their normal bundles |t Chapter 9. A stronger inductive hypothesis |t Chapter 10. Inductive arguments |t Chapter 11. Base cases |t Chapter 12. Summary of Remainder of Proof of Theorem 1.2 |t Chapter 13. The three exceptional cases |t Appendix A. Remainder of Proof of Theorem 1.2 |t Appendix B. Code for Chapter 4 |
| 520 | |a 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 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 P^r (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. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Curves, Algebraic. | |
| 650 | 0 | |a Projective spaces. | |
| 650 | 0 | |a Geometry, Projective. | |
| 650 | 6 | |a Courbes algébriques. | |
| 650 | 6 | |a Espaces projectifs. | |
| 650 | 6 | |a Géométrie projective. | |
| 650 | 7 | |a Geometría proyectiva |2 embne | |
| 650 | 7 | |a Curvas algebraicas |2 embne | |
| 650 | 7 | |a Módulos (Álgebra) |2 embne | |
| 650 | 7 | |a Curves, Algebraic |2 fast | |
| 650 | 7 | |a Geometry, Projective |2 fast | |
| 650 | 7 | |a Projective spaces |2 fast | |
| 700 | 1 | |a Larson, Eric, |d 1991- |e author. |1 https://id.oclc.org/worldcat/entity/E39PBJcKG77HXxvkvrFbtVC4v3 | |
| 700 | 1 | |a Yang, David, |d 1997- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjDJb8wDKKmfCccm4ymmkC | |
| 758 | |i has work: |a Interpolation for normal bundles of general curves (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGRRHpHjpWxBgyTGFhfRmm |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Atanasov, Atanas, 1988- |t Interpolation for normal bundles of general curves. |d [Providence, Rhode Island] : American Mathematical Society, 2019 |z 9781470434892 |w (DLC) 2018053269 |w (OCoLC)1054377480 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 1234. |x 0065-9266 | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=5725360 |z Texto completo |
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| 938 | |a ProQuest Ebook Central |b EBLB |n EBL5725360 | ||
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