Real forms of minimal SL2-threefolds

Abstract

We complete the classification of the real forms of almost homogeneous SL2-threefolds. More precisely, we use the Luna-Vust theory to determine the real forms of minimal smooth complete SL2-varieties containing an orbit isomorphic to SL2/H, where H is a finite cyclic subgroup of SL2. Moreover, we study the rationality and the set of real points of those varieties.

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