Wonderful Varieties: A geometrical realization

Details Wonderful Varieties: A geometrical realization Wonderful Varieties: A geometrical realization

2009-07-16

arxiv.org/abs/0907.2852v3

Mathematics

Algebraic Geometry

v2, 34 pages, major changes; v3 some gaps fixed

Scientific paper

We give a geometrical realization of wonderful varieties by means of a
suitable class of invariant Hilbert schemes. Consequently, we prove Luna's
conjecture asserting that wonderful varieties are classified by triples of
combinatorial invariants called spherical systems.

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