Projective normality of the wonderful compactification of semisimple adjoint groups
Identifieur interne : 001219 ( Main/Exploration ); précédent : 001218; suivant : 001220Projective normality of the wonderful compactification of semisimple adjoint groups
Auteurs : S. S. KannanSource :
- Mathematische Zeitschrift [ 0025-5874 ] ; 2002-04-01.
Abstract
Abstract.: We prove that if G is a semisimple adjoint group over an algebraically closed field of arbitrary characteristic, X is the wonderful compactification of G and $\widehat{G}$ is a simply connected covering of G, then for any $\widehat{G}\times \widehat{G}$ -linearised very ample line bundle L over X, the cone over X given by L is normal.
Url:
DOI: 10.1007/s002090100319
Affiliations:
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<front><div type="abstract" xml:lang="en">Abstract.: We prove that if G is a semisimple adjoint group over an algebraically closed field of arbitrary characteristic, X is the wonderful compactification of G and $\widehat{G}$ is a simply connected covering of G, then for any $\widehat{G}\times \widehat{G}$ -linearised very ample line bundle L over X, the cone over X given by L is normal.</div>
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