On quadrics of higher codimension
type: Item
instance of: scholarly article
title: On quadrics of higher codimension
zbMATH Open document ID: 0852.14015
DOI: 10.1007/BF02110379
author: N. F. Palinchak
published in: Mathematical Notes
publication date: 1995-09-25T00:00:00Z
review text: \textit{V. V. Ezov} and \textit{G. Schmalz}: [in the work ``A matrix Poincaré formula for holomorphic automorphisms of real associative quadrics'' (preprint)] selected quadrics, called RAQ quadrics, from all \((n,n)\)-quadrics. One has obtained a formula for the automorphisms of RAQ quadrics, preserving the origin. In connection with this there arose the following question: Is it true that among the irreducible quadrics only the RAQ quadrics have nonlinear automorphisms? The answer is negative, in \(\mathbb{C}^6\) there exists an irreducible quadric with nonlinear automorphisms, which is not a RAQ quadric.
Mathematics Subject Classification ID: 14J50
Mathematics Subject Classification ID: 14M07
Mathematics Subject Classification ID: 14E07
zbMATH DE Number: 797892
zbMATH Keywords: quadrics
zbMATH Keywords: automorphisms
MaRDI profile type: Publication
cites work: Q3791444
cites work: Q3801872
cites work: Q4040208
cites work: Automorphisms and holomorphic mappings of standard CR-manifolds and Siegel domains
cites work: Q3810926
full work available at URL: https://doi.org/10.1007/bf02110379
OpenAlex ID: W1978243230
description: scientific article; zbMATH DE number 797892