Hilbert 2-Class Fields and 2-Descent

Franz Lemmermeyer

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arXiv · 1202.5515

Hilbert 2-Class Fields and 2-Descent

Franz Lemmermeyer

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Abstract

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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Franz Lemmermeyer. 2012-02-24. Hilbert 2-Class Fields and 2-Descent. https://arxiv.org/abs/1202.5515

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