Explicit Approximations to Class Field Towers

Frauke M. Bleher; Ted Chinburg

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arXiv · 2301.05673

Explicit Approximations to Class Field Towers

Frauke M. Bleher·Ted Chinburg

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Abstract

We answer a question of Peikert and Rosen by giving for each $\epsilon > 0$ an efficient construction of infinite families of number fields $N$ such that the root discriminant $D_N^{1/[N:\mathbb{Q}]}$ is bounded above by a constant times $[N:\mathbb{Q}]^\epsilon$.

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Frauke M. Bleher, Ted Chinburg. 2023-01-13. Explicit Approximations to Class Field Towers. https://arxiv.org/abs/2301.05673

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