There are many recipes for fried green tomatoes, but they all generally follow the same basic process: green tomatoes are coated in a batter or breading, then fried in hot oil until crisp.
Slice the tomatoes 1/2 inch thick, but do not peel or core. Drain well between several thicknesses of paper toweling until most of the moisture of the tomatoes is absorbed. While the tomatoes are draining, make a batter by beating the eggs until light, then mixing in the corn meal, water, minced chives, salt and pepper. In a large, heavy iron skillet, heat the butter or margarine until bubbly. Dip the tomato slices into batter, and brown quickly on both sides. Serve at once.