It is a regular ehnancement, so it has to be played lke a regular enhancemnt, however, with High Places it can be played like a territory class enhancemnt.
Abomination of Desolation: If used by a Greek, place in opponent's territory. Each time opponent draws cards (except during draw phase), you may discard a card in that territory except a Lost Soul.
High Places: During your preparation and discard phases, you may play evil Enhancements that contain the word "place" in the special ability. If you capture a Hero in a territory, discard this card.
Side note: Why on the Wiki page does it have High Places Play As the same as it's original ability?