Accompaniment: lightly toasted thin French bread slices
Directions
Preheat broiler.
In a small heavy saucepan cook carrot, celery, and bell pepper in butter over moderate heat, stirring, 1 minute. Add broth, vermouth or wine, and tarragon and boil mixture until liquid is reduced to about 1 tablespoon. Add cream and boil sauce until thickened, 1 to 2 minutes. Stir in crab meat, lemon juice, and salt and pepper to taste and divide mixture between two 1-cup shallow baking dishes. Sprinkle Parmesan over crab mixture and set dishes in shallow baking pan. Broil gratin about 4 inches from heat 2 minutes, or until bubbling and golden, and serve with toasts.