%0 Journal Article %T A simple remark on fields of definition %A Hidalgo %A Rub¨¦n %J Proyecciones (Antofagasta) %D 2012 %I Universidad Cat¨®lica del Norte %R 10.4067/S0716-09172012000100003 %X 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 ¦Ð : x ¡úy be a non-constant morphism, defined over l. if we assume that ¡¥k ¡Ù 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. %K algebraic curves %K field of moduli %K field of definition . %U http://www.scielo.cl/scielo.php?script=sci_abstract&pid=S0716-09172012000100003&lng=en&nrm=iso&tlng=en