Projective normality of complete symmetric varieties
Chirivì, Rocco ; Maffei, Andrea
Duke Math. J., Tome 121 (2004) no. 1, p. 93-123 / Harvested from Project Euclid
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We prove that in characteristic zero the multiplication of sections of line bundles generated by global sections on a complete symmetric variety X=\overline{G/H} is a surjective map. As a consequence, the cone defined by a complete linear system over $X$ or over a closed $G$ -stable subvariety of $X$ is normal. This gives an affirmative answer to a question raised by Faltings in [11]. A crucial point of the proof is a combinatorial property of root systems.
Publié le : 2004-03-15
Classification:  14M17,  14L30 
@article{1080137203,
     author = {Chiriv\`\i , Rocco and Maffei, Andrea},
     title = {Projective normality of complete symmetric varieties},
     journal = {Duke Math. J.},
     volume = {121},
     number = {1},
     year = {2004},
     pages = { 93-123},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1080137203}
}

Chirivì, Rocco; Maffei, Andrea. Projective normality of complete symmetric varieties. Duke Math. J., Tome 121 (2004) no. 1, pp.  93-123. http://gdmltest.u-ga.fr/item/1080137203/