English

Simple Models of Quasihomogeneous Projective 3-Folds

Algebraic Geometry 2007-05-23 v1

Abstract

Let X be a projective complex 3-fold, quasihomogeneous with respect to an action of a linear algebraic group. We show that X is a compactification of SL_2/G, G a discrete subgroup, or that X can be equivariantly transformed into the 3-dim. projective space, the quadric Q_3, or into certain quasihomogeneous bundles with very simple structure.

Keywords

Cite

@article{arxiv.math/9805041,
  title  = {Simple Models of Quasihomogeneous Projective 3-Folds},
  author = {Stefan Kebekus},
  journal= {arXiv preprint arXiv:math/9805041},
  year   = {2007}
}