So Esau settled in the hill country of Seir. (Esau is Edom.)
Observe here, 1. Concerning Esau himself, Gen 36:1. He is called Edom (and again, Gen 36:8), that name by which was perpetuated the remembrance of the foolish bargain he made, when he sold his birthright for that red, that red pottage. The very mention of that name is enough to intimate the reason why his family is turned off with such a short account.
Commenting on Genesis 36:1-8
And these are the generations of Esau,.... Or the posterity of Esau, his children and grandchildren, as before and hereafter related: the father of the Edomites in Mount Seir; from whom they of that mountain and in the adjacent country had the name of Edomites or Idumeans.
Thus dwelt Esau in mount Seir--This was divinely assigned as his possession (Jos 24:4; Deu 2:5).