Form class groups and class fields of CM-fields

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Let F be a totally real number field of class number one, and let K be a CM-field with F as its maximal real subfield. For each positive integer N, we construct a class group of certain binary quadratic forms over F which is isomorphic to the ray class group of K modulo N. Assuming further that the narrow class number of F is one, we construct a class field of the reflex field of K in terms of the singular values of Hilbert modular functions.
Publisher
SPRINGER BASEL AG
Issue Date
2023-02
Language
English
Article Type
Article
Citation

RESULTS IN MATHEMATICS, v.78, no.1

ISSN
1422-6383
DOI
10.1007/s00025-022-01773-7
URI
http://hdl.handle.net/10203/301619
Appears in Collection
MA-Journal Papers(저널논문)
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