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Local homogeneity conjecture for holomorphic ${\rm SL}_2({\mathbb C})$ -geometries
Local homogeneity conjecture. For higher complex odd dimensions, holomorphic ${\rm SL}_2({\mathbb C})$ -geometries on compact complex manifolds are always locally homogeneous.
Conjecturesolvedcomplex-manifolds holomorphic-geometries local-homogeneityarXiv posted 3 days ago

Local homogeneity conjecture for holomorphic SL2(C){\rm SL}_2({\mathbb C})SL2​(C)-geometries