Picked up columns are different from normal RC columns in that at their lowest point, these are located on (picked up from) top of a beam at some upper story of the building & transfer the load to the supporting beam, instead of trasferring it to a lower column directly.
In the following image (showing elevation view of an ETABS model, where vertical purple lines represent columns, and horizontal lines represent beams), second column from left, is a picked up column. It is starting from top of a beam at first floor level, unlike all other columns stsrting from the 'base' i.e., ground level.