Simple Models of Quasihomogeneous Projective 3-Folds

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 $SL_2/\Gamma$, $\Gamma$ a finite subgroup, or that $X$ can be equivariantly transformed into $\Pthree$, the quadric $\QZ_3$, or into certain quasihomogeneous bundles with very simple structure.

1991 Mathematics Subject Classification: Primary 14M17; Secondary14L30, 32M12

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