Complex multiplication constructions of abelian extensions of quartic fields

Author(s):
Asuncion, J.G.
Published
2022
Publication type
Doctoral Thesis

Abstract

In this thesis, we show that we can use Shimura’s CM theory to explicitly compute the Hilbert class field of any primitive quartic CM field.

Complex multiplicationCM fieldsHilbert class fields
Defense date
2022-05-24
Language
English
Supervisor(s)
Enge, A.; Stevenhagen, P.
Advisor(s)
Streng, M.
Committee member(s)
Edixhoven, B.; Fieker, C.; Ionica, S.; Kohel, D.; Luijk, R. van
Qualification
Ph.D.
Degree granting institution
Mathematical Institute (MI), Faculty of Science, Leiden University, Leiden
hdl
1887/3304503