Arithmetic matrices for number fields II: Parametrization of rings by binary forms
Number Theory
2018-08-31 v1
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 depends on a symbolic calculation with matrices.
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@article{arxiv.1808.10214,
title = {Arithmetic matrices for number fields II: Parametrization of rings by binary forms},
author = {Samuel A. Hambleton},
journal= {arXiv preprint arXiv:1808.10214},
year = {2018}
}
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17 pages