| dc.creator | Hidalgo, Ruben A. | |
| dc.date | 2012-01-29 | |
| dc.identifier | http://www.revistaproyecciones.cl/article/view/1155 | |
| dc.identifier | 10.4067/S0716-09172012000100003 | |
| dc.description | Let K< L be an extension of fields, in characteristic zero, with L algebraically closed and let ‾K;< L be the algebraic closure of K in L. Let X and Y be irreducible projective algebraic varieties, X defined over ‾K and Y defined over L, and let π : X → Y be a non-constant morphism, defined over L. If we assume that ‾K ≠ L,then one may wonder if Y is definable over ‾K. In the case that K = Q, L = C and that X and Y are smooth curves, a positive answer was obtained by Gonzalez-Diez. In this short note we provide simple conditions to have a positive answer to the above question. We also state a conjecture for a class of varieties of general type. | es-ES |
| dc.format | application/pdf | |
| dc.language | spa | |
| dc.publisher | Universidad Católica del Norte. | es-ES |
| dc.relation | http://www.revistaproyecciones.cl/article/view/1155/1124 | |
| dc.rights | Derechos de autor 2012 Proyecciones. Journal of Mathematics | es-ES |
| dc.source | Proyecciones. Journal of Mathematics; Vol 31 No 1 (2012); 25-28 | en-US |
| dc.source | Proyecciones. Revista de Matemática; Vol. 31 Núm. 1 (2012); 25-28 | es-ES |
| dc.source | 0717-6279 | |
| dc.source | 0716-0917 | |
| dc.title | A Simple Remark on Fields of Definition | es-ES |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
| dc.type | Artículo revisado por pares | es-ES |
