Simple Models of Quasihomogeneous Projective 3-Folds

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 SL2/G, G a discrete subgroup, or that X can be equivariantly transformed into the 3-dim. projective space, the quadric Q3, or into certain quasihomogeneous bundles with very simple structure.

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