A divine decree of absolute and sweeping destruction is placed upon Edom, targeting both its urban centers and the nation as a whole as a direct consequence of their historical crimes.
The judgment begins with the promise of turning their cities into places of total ruin [מצודת ציון]. This specifically targets the great city of Rome and other cities ruled by the descendants of Edom. Their impending downfall serves as a punishment for their role in destroying the Second Temple and for slaughtering the Israelites, acts driven by an ancient, eternal hatred [אברבנאל].
Beyond the ruin of individual cities, the decree of desolation expands to encompass the entire land [מצודת דוד, ביאור שטיינזלץ]. Alternatively, this total devastation is directed at the people of Seir themselves, ensuring they will be wiped out wherever they may be found [רד״ק].
The ultimate purpose behind this absolute desolation is to bring about a clear recognition of God. This awareness will grow as they witness the unfolding judgment and understand that He is completely faithful to deliver justice, ensuring that Edom is punished for its actions [מצודת דוד].