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}
}
  • B. Breen, Ila Varma, +1 author appendix with Noam Elkies
  • Published 2019
  • Mathematics
  • arXiv: Number Theory
  • 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. 

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