# Special values of Hilbert modular functions.

Revista Matemática Iberoamericana (1986)

- Volume: 2, Issue: 4, page 367-380
- ISSN: 0213-2230

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topKarel, Martin L.. "Special values of Hilbert modular functions.." Revista Matemática Iberoamericana 2.4 (1986): 367-380. <http://eudml.org/doc/39334>.

@article{Karel1986,

abstract = {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.},

author = {Karel, Martin L.},

journal = {Revista Matemática Iberoamericana},

keywords = {Funciones modulares; Cuerpos; special values of arithmetic Hilbert modular functions; complex multiplications; Galois automorphisms; CM-points},

language = {eng},

number = {4},

pages = {367-380},

title = {Special values of Hilbert modular functions.},

url = {http://eudml.org/doc/39334},

volume = {2},

year = {1986},

}

TY - JOUR

AU - Karel, Martin L.

TI - Special values of Hilbert modular functions.

JO - Revista Matemática Iberoamericana

PY - 1986

VL - 2

IS - 4

SP - 367

EP - 380

AB - 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.

LA - eng

KW - Funciones modulares; Cuerpos; special values of arithmetic Hilbert modular functions; complex multiplications; Galois automorphisms; CM-points

UR - http://eudml.org/doc/39334

ER -

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