Buying a share of a plot is possible and it is not section off. It has a name (excuse the spelling) its called "moushterekiko".
"moushterekiko" comes from Turkish "Mü$terek" which is derived from Arabic and it means "Joint ownership".
I think in the case of Ku, it is not a joint ownership as such but an agreement to buy-sell a certain plot in the whole. I understand that the agreement was lodged with the Land Registry, hence giving a chance to apply to court for "Specific Performance". From what I understood from the Cyprus Mail article is that now the High Court Decision has opened up the way for Ku to apply to court and have someone appointed to do the necessary work to divide up the land in place of the Vendor if this is possible at all. So it may not be as bad as the case described by pantheman i.e. there is no title deed for joint ownership, only an agreement for a specific plot.
ismet