In a saucepan heat oil over moderate heat until hot but not smoking and cook scallions, garlic and ginger, stirring, until fragrant, about 1 minute. Stir in remaining ingredients and bring to a simmer, stirring. Simmer sauce, stirring, until smooth and cool to room temperature. Sauce may be made up to 3 days ahead and chilled, covered. If sauce is too thick after chilling, stir in 1 to 2 tablespoons hot water until sauce reaches desired consistency.