A complete classification of well-rounded real quadratic ideal lattices

Anitha Srinivasan

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arXiv · 1902.01773

A complete classification of well-rounded real quadratic ideal lattices

Anitha Srinivasan

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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 $\sqrt{\frac{d}{3}}<a<\sqrt{3d}.$

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Anitha Srinivasan. 2019-02-05. A complete classification of well-rounded real quadratic ideal lattices. https://arxiv.org/abs/1902.01773

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