N ov 2 00 8 INVARIANT HILBERT SCHEMES AND WONDERFUL VARIETIES STÉPHANIE
چکیده
The invariant Hilbert schemes considered in [4] were proved to be affine spaces. The proof relied on the classification of strict wonderful varieties. We obtain in the present article a classification-free proof of the affinity of these invariant Hilbert scheme by means of deformation theoretical arguments. As a consequence we recover in a shorter way the classification of strict wonderful varieties. This provides an alternative and new approach to answer Luna’s conjecture.