English

Wonderful Varieties: A geometrical realization

Algebraic Geometry 2014-08-22 v4 Representation Theory

Abstract

A geometrical realization of wonderful varieties by means of a suitable class of invariant Hilbert schemes is given. As a consequence, Luna's conjecture asserting that wonderful varieties are classified by spherical systems, triples of combinatorial invariants, is proved.

Keywords

Cite

@article{arxiv.0907.2852,
  title  = {Wonderful Varieties: A geometrical realization},
  author = {S. Cupit-Foutou},
  journal= {arXiv preprint arXiv:0907.2852},
  year   = {2014}
}

Comments

v2, 34 pages, major changes; v3 some gaps fixed; v4 53 pages, some details added

R2 v1 2026-06-21T13:25:43.693Z