We investigate the geometry of forking for SU-rank 2 elements in supersimple ω-categorical theories and prove stable forking and some structural properties for such elements. We extend this analysis to the case of SU-rank 3 elements.
"Geometry of forking in simple theories." J. Symbolic Logic 71 (1) 347 - 359, March 2006. https://doi.org/10.2178/jsl/1140641179