How to Make It
In a large, deep skillet, melt the butter. Add the onions and cook over moderate heat, stirring occasionally, until golden, about 35 minutes; add 2 tablespoons of water as necessary during cooking to prevent the onions from drying out. Stir in 1 tablespoon of the lemon juice and season with salt and pepper.
Meanwhile, preheat the broiler. On a rimmed baking sheet, season the squabs with salt and pepper. Broil the birds 8 inches from the heat for about 20 minutes, turning the baking sheet occasionally, until the skin is deep golden brown and an instant-read thermometer inserted in the breast registers 145° for medium-rare.
In a small bowl, combine the cumin with the ginger, curry powder and cinnamon. Sprinkle the spices on both sides of the hot squabs.
In a medium bowl, whisk the remaining 1 tablespoon of lemon juice with the olive oil and season with salt and pepper. Add the arugula and toss to coat. Spoon the onion compote onto plates. Arrange the squabs and Golden Corn Cakes on the plates, mound the arugula on the side and serve.