Hilbert 2-Class Fields and 2-Descent

Details Hilbert 2-Class Fields and 2-Descent Hilbert 2-Class Fields and 2-Descent

2012-02-24

arxiv.org/abs/1202.5515v1

Mathematics

Number Theory

Scientific paper

We give a construction of unramified cyclic octic extensions of certain
complex quadratic number fields. The binary quadratic form used in this
construction also shows up in the theory of 2-descents on Pell conics and
elliptic curves, as well as in the explicit description of cyclic quartic
extensions.

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