| dc.creator | Hidalgo, Ruben A. | es |
| dc.date | 2012-01-29 | |
| dc.identifier | https://www.revistaproyecciones.cl/index.php/proyecciones/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 |
| dc.format | application/pdf | |
| dc.language | spa | |
| dc.publisher | Universidad Católica del Norte. | en |
| dc.relation | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1155/1124 | |
| dc.rights | Copyright (c) 2012 Proyecciones. Journal of Mathematics | en |
| dc.source | Proyecciones (Antofagasta); Vol. 31 No. 1 (2012); 25-28 | en |
| dc.source | Proyecciones. Revista de Matemática; Vol. 31 Núm. 1 (2012); 25-28 | es |
| dc.source | 0717-6279 | |
| dc.source | 10.22199/issn.0717-6279-2012 | |
| dc.title | A Simple Remark on Fields of Definition | es |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
