On the invariant field of binary octavics
type: Item
instance of: scholarly article
title: On the invariant field of binary octavics
zbMATH Open document ID: 0741.14004
author: Takashi Maeda
published in: Hiroshima Mathematical Journal
publication date: 1992-06-25T00:00:00Z
review text: The invariant field \(P_ n\) of binary \(n\)-forms over \(\mathbb{C}\) is studied. It is shown that for each even integer \(n\geq 8\) the field \(P_ n\) is generated by \(n-2\) ( = transcendence degree over \(\mathbb{C}\)) rational functions whose denominators are certain powers of some homogeneous invariant polynomial of degree 12. The six generators of the field \(P_ 8\) of binary octavics are also found in detailed form.
Mathematics Subject Classification ID: 14L24
Mathematics Subject Classification ID: 15A72
Mathematics Subject Classification ID: 11E76
zbMATH DE Number: 9218
zbMATH Keywords: invariant field
zbMATH Keywords: binary \(n\)-forms
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.32917/hmj/1206129052
OpenAlex ID: W1491593755
DOI: 10.32917/HMJ/1206129052
description: scientific article; zbMATH DE number 9218