Special Values of Hilbert Modular Functions.
- Autores: Martín L. Karel
- Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 2, Nº 4, 1986, págs. 367-380
- Idioma: inglés
- DOI: 10.4171/rmi/39
- Títulos paralelos:
- Valores especiales de funciones modulares de Hilbert.
- Enlaces
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Resumen
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.
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