Edomites are descended from Esau. The prophet Obadiah, himself an Edomian convert to Judaism, describes the punishment destined for the nation of Edom. The Edomites are actually the Roman Empire and their descendants who destroyed the Second Temple and killed and enslaved the Jewish people.
Just to be noted that in Hebrew the word Esau עשיו has the same letters as ישוע who created Christianity. According to the great Kabbalistic Arizal, Christianity comes from the source of Esau, and its power will abolished in the time of the complete redemption.
The prophet Ovadia forewarns: "If you go up high like an eagle, and if you place your nest among the stars, from there I will bring you down, says the Lord. . . And the house of Jacob shall be fire and the house of Joseph a flame, and the house of Esau shall become stubble, and they shall ignite them and consume them, and the house of Esau shall have no survivors, for the Lord has spoken." These verbs describe what will happen in the final redemption whereas G-d destroys the power of Esau who represents evil and raises the power of Jacob who represents all those who were loyal to Him during the exile, this includes the Jewish people and the righteous Noahides.