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arXiv · 1808.10214

Arithmetic matrices for number fields II: Parametrization of rings by binary forms

Samuel A. Hambleton
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Abstract

We show that binary forms of degree n less than seven parameterize rings, generalizing a result of Levi on binary cubic forms parameterizing cubic rings, which can be related to results of Bhargava. The question of whether or not a binary form of degree n parameterizes a ring of rank $n$ depends on a symbolic calculation with matrices.

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Samuel A. Hambleton. 2018-08-30. Arithmetic matrices for number fields II: Parametrization of rings by binary forms. https://arxiv.org/abs/1808.10214

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