Título inglés |
Special values of Hilbert modular functions. |
Título español |
Valores especiales de funciones modulares de Hilbert. |
Autor/es |
Karel, Martin L. |
Organización |
Dep. Math. Sci. Camden Coll. Arts Sci. Rutgers Univ., Camden (New Jersey), Estados Unidos |
Revista |
0213-2230 |
Publicación |
1986, 2 (4): 367-380, 11 Ref. |
Tipo de documento |
articulo |
Idioma |
Inglés |
Resumen inglés |
Recently, Baily has established new foundation for complex multiplication in the context of Hilbert modular functions; see [1]-[4]. However, in his treatment there is a restriction on the class of CM-points treated. Namely, the order of complex multiplications associated to the point must be the maximal order in its quotient field. The purpose of this paper is two-fold: (1) to remove the restriction just mentioned; (2) to recover a result of Tate on the conjugates of CM-points by arbitrary Galois automorphisms of Q' (the algebraic closure of Q). This is done without the use of moduli. |
Clasificación UNESCO |
120502 |
Palabras clave español |
Funciones modulares ; Cuerpos |
Código MathReviews |
MR0913693 |
Código Z-Math |
Zbl 0636.10025 |
Acceso al artículo completo |