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.
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Received: 1 December 1999; in final form: 19 September 2000 / Published online: 19 October 2001
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Kannan, S. Projective normality of the wonderful compactification of semisimple adjoint groups. Math Z 239, 673–682 (2002). https://doi.org/10.1007/s002090100319
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DOI: https://doi.org/10.1007/s002090100319