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Corpus ID: 203610235

On unit signatures and narrow class groups of odd abelian number fields: structure and heuristics

@article{Breen2019OnUS,
title={On unit signatures and narrow class groups of odd abelian number fields: structure and heuristics},
author={B. Breen and Ila Varma and J. Voight and appendix with Noam Elkies},
journal={arXiv: Number Theory},
year={2019}
}

For an abelian number field of odd degree, we study the structure of its 2-Selmer group as a bilinear space and as a Galois module. We prove structural results and make predictions for the distribution of unit signature ranks and narrow class groups in families where the degree and Galois group are fixed.