Rationality of the field of invariants of a faithful four-dimensional representation of the icosahedral group
type: Item
instance of: scholarly article
title: Rationality of the field of invariants of a faithful four-dimensional representation of the icosahedral group
zbMATH Open document ID: 0657.14029
DOI: 10.1007/BF01137670
author: I. Ya. Kolpakov-Miroshnichenko
author: Yuri Prokhorov
published in: Mathematical Notes
publication date: 1987-01-01T00:00:00Z
review text: The group \(G=SL_ 2(F_ 5)\) has two complex 4-dimensional and irreducible representations and one of them (call it \(\phi)\) is exact. Using \(\phi\) we get an action of G on \({\mathbb{C}}P^ 3\). The authors prove that the factor-variety \({\mathbb{C}}P^ 3/G\) is rational. The proof uses elements of the theory of threefolds.
Mathematics Subject Classification ID: 14M20
Mathematics Subject Classification ID: 14J30
Mathematics Subject Classification ID: 20G05
Mathematics Subject Classification ID: 20G40
zbMATH DE Number: 4073170
zbMATH Keywords: rationality
zbMATH Keywords: threefolds
MaRDI profile type: Publication
cites work: Q3912774
cites work: Q3328651
cites work: The cone of curves of algebraic varieties
full work available at URL: https://doi.org/10.1007/bf01137670
OpenAlex ID: W2325499895
description: scientific article; zbMATH DE number 4073170