Invariant Hilbert schemes and Wonderful varieties

Details Invariant Hilbert schemes and Wonderful varieties Invariant Hilbert schemes and Wonderful varieties

2008-11-10

arxiv.org/abs/0811.1567v2

Mathematics

Algebraic Geometry

Major corrections in Section 5.2

Scientific paper

The invariant Hilbert schemes considered in \cite{BC1} 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.

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