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arXiv · 2312.13738

Real forms of minimal SL$_2$-threefolds

Lucas Moulin
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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.

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Lucas Moulin. 2023-12-21. Real forms of minimal SL$_2$-threefolds. https://arxiv.org/abs/2312.13738

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