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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 |
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| 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 |
| Sumario: | 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. |
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| Notas: | "January 2019, volume 257, number 1234 (fourth of 6 numbers)." |
| Descripción Física: | 1 online resource (v, 105 pages) |
| Bibliografía: | Includes bibliographical references (page 105) |
| ISBN: | 147044951X 9781470449513 |
| ISSN: | 0065-9266 ; |