Projective normality of the wonderful compactification of semisimple adjoint groups
type: Item
instance of: scholarly article
title: Projective normality of the wonderful compactification of semisimple adjoint groups
zbMATH Open document ID: 0997.14012
published in: Mathematische Zeitschrift
publication date: 2002-06-27T00:00:00Z
full work available at URL: http://cds.cern.ch/record/482893
review text: Let \(G\) be a semisimple adjoint group over an algebraically closed field of arbitrary characteristic. De Concini and Procesi introduced and studied what is called ``the wonderful compactification'' \(X\) of \(G\) [see \textit{C. De Concini} and \textit{C. Procesi}, in: Invariant theory, Proc. 1st 1982 Sess. CIME, Monecatini, Lect. Notes Math. 996, 1-44 (1983; Zbl 0581.14041)]. Let \(\widehat G\) be the simply connected covering of \(G\). The aim of the paper under review is to prove that for every \(\widehat G\times\widehat G\)-linearised very ample line bundle \(L\) over \(X\), the cone over \((X,L)\) is normal.
reviewed by: Lucian Bădescu
Mathematics Subject Classification ID: 14L30
zbMATH DE Number: 1761069
zbMATH Keywords: semisimple adjoint groups
zbMATH Keywords: wonderful compactification
zbMATH Keywords: projective normality
author: Subramaniam Senthamarai Kannan
MaRDI profile type: Publication
OpenAlex ID: W2139630175
DOI: 10.1007/S002090100319
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description: scientific article; zbMATH DE number 1761069