A matrix Poincaré formula for holomorphic automorphisms of quadrics of higher codimension. Real associative quadrics
type: Item
instance of: scholarly article
title: A matrix Poincaré formula for holomorphic automorphisms of quadrics of higher codimension. Real associative quadrics
zbMATH Open document ID: 0957.32016
DOI: 10.1007/BF02922107
author: Vladimir Ejov
author: Gerd Schmalz
published in: The Journal of Geometric Analysis
publication date: 2001-04-01T00:00:00Z
review text: The problem of the description of holomorphic automorphisms of quadrics dates back to the work of Poincaré. In this paper, the authors describe the holomorphic automorphisms of two infinite series of Hermitian quadrics. They give explicit formulas for the automorphisms in terms of rational maps. The quadrics in question are: quadric of real codimension two and a special class of quadric, the ``real associated quadric''. The latest are quadrics that admit a `matrix Poincaré formula' construction.
Mathematics Subject Classification ID: 32V40
Mathematics Subject Classification ID: 32M05
zbMATH DE Number: 1320416
zbMATH Keywords: holomorphic automorphisms
zbMATH Keywords: Hermitian quadrics
reviewed by: L. Barchini
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02922107
OpenAlex ID: W2044447023
description: scientific article; zbMATH DE number 1320416