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Projective normality of the wonderful compactification of semisimple adjoint groups

Identifieur interne : 001219 ( Main/Exploration ); précédent : 001218; suivant : 001220

Projective normality of the wonderful compactification of semisimple adjoint groups

Auteurs : S. S. Kannan

Source :

RBID : ISTEX:46DF3BC621E428354CDFCDC06ABD4DBAA975B60B

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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