Simple models of quasihomogeneous projective 3-folds

  • Stefan Kebekus

    Universitat Bayreuth 95440 Bayreuth Germany
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Abstract

Let XX be a projective complex 3-fold, quasihomogeneous with respect to an action of a linear algebraic group. We show that XX is a compactification of SL2/Γ,ΓSL_2/\Gamma, \Gamma a finite subgroup, or that XX can be equivariantly transformed into \Pthree\Pthree, the quadric \QZ3\QZ_3, or into certain quasihomogeneous bundles with very simple structure.

Cite this article

Stefan Kebekus, Simple models of quasihomogeneous projective 3-folds. Doc. Math. 3 (1998), pp. 15–26

DOI 10.4171/DM/37