Real forms of minimal SL${}_2$-threefolds

Abstract

We complete the classification of the real forms of almost homogeneous SL${}_2$-threefolds. More precisely, we use the Luna-Vust theory to determine the real forms of minimal smooth complete SL${}_2$-varieties containing an orbit isomorphic to SL${}_2/H$, where $H$ is a finite cyclic subgroup of SL${}_2$. Moreover, we study the rationality and the set of real points of those varieties.

Cited by in corpus (1)

• Forms of almost homogeneous varieties over perfect fields