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Classification of two-orbit varieties

Representation Theory 2007-05-23 v1 Algebraic Geometry

Abstract

A two-orbit variety is a normal complete complex algebraic variety on which a reductive complex algebraic group acts with exactly two orbits. The aim of this paper is to give the classification of all two-orbit varieties and to prove Luna's conjecture, namely that two-orbit varieties are spherical.

Keywords

Cite

@article{arxiv.math/0208076,
  title  = {Classification of two-orbit varieties},
  author = {S. Cupit-Foutou},
  journal= {arXiv preprint arXiv:math/0208076},
  year   = {2007}
}

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19 pages