English

Real forms of minimal SL$_2$-threefolds

Algebraic Geometry 2024-03-27 v2

Abstract

We complete the classification of the real forms of almost homogeneous SL2_2-threefolds. More precisely, we use the Luna-Vust theory to determine the real forms of minimal smooth complete SL2_2-varieties containing an orbit isomorphic to SL2/H_2/H, where HH is a finite cyclic subgroup of SL2_2. Moreover, we study the rationality and the set of real points of those varieties.

Keywords

Cite

@article{arxiv.2312.13738,
  title  = {Real forms of minimal SL$_2$-threefolds},
  author = {Lucas Moulin},
  journal= {arXiv preprint arXiv:2312.13738},
  year   = {2024}
}