A complete classification of well-rounded real quadratic ideal lattices

Anitha Srinivasan

A complete classification of well-rounded real quadratic ideal lattices

Number Theory 2019-02-06 v1

Authors: Anitha Srinivasan

Abstract

We provide a complete classification of well-rounded ideal lattices arising from real quadratic fields. We show that the ideals that give rise to such lattices are precisely the ones that correspond to divisors $a$ of the discriminant $d$ that satisfy $\sqrt{\frac{d}{3}}<a<\sqrt{3d}.$

Keywords

well-rounded lattices ideal lattices real quadratic fields discriminant classification divisors

Cite

@article{arxiv.1902.01773,
  title  = {A complete classification of well-rounded real quadratic ideal lattices},
  author = {Anitha Srinivasan},
  journal= {arXiv preprint arXiv:1902.01773},
  year   = {2019}
}

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