On unit signatures and narrow class groups of odd degree abelian number fields

Benjamin Breen; Ila Varma; John Voight; appendix with Noam Elkies

On unit signatures and narrow class groups of odd degree abelian number fields

Number Theory 2021-04-13 v3

Authors: Benjamin Breen , Ila Varma , John Voight , appendix with Noam Elkies

Abstract

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.

Keywords

abelian number fields odd degree 2-selmer group unit signature ranks narrow class groups galois module

Cite

@article{arxiv.1910.00449,
  title  = {On unit signatures and narrow class groups of odd degree abelian number fields},
  author = {Benjamin Breen and Ila Varma and John Voight and appendix with Noam Elkies},
  journal= {arXiv preprint arXiv:1910.00449},
  year   = {2021}
}

Comments

41 pages; incorporated referees' feedback

On unit signatures and narrow class groups of odd degree abelian number fields

Abstract

Keywords

Cite

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