Bring the broth, ginger, soy sauce, wine, vinegar, sesame oil, sugar and a pinch of salt to a boil in a soup pot over high heat. Lower the heat and simmer about 10 minutes. Add the carrots and cook until just tender, about 5 minutes.
Add the dumplings and cook until just tender, about 3 minutes. Stir in the scallions and spinach and cook until wilted, about 1 minute.
Recipe courtesy Food Network Magazine