Clean and wash the aubergines and cut them in half lengthwise. Sprinkle cut surfaces with salt and leave to stand for approx. 15 minutes. Clean, wash and roughly pluck the rosemary into pieces. Peel garlic and dice finely.
Mix vinegar, garlic, some pepper, sugar and a little salt. Fold in 3 tablespoons of oil.
Dab aubergines dry with kitchen paper. Heat approx. 5 tbsp. oil in a large frying pan, fry the aubergines first with the cut surface facing downwards until golden brown. Turn the aubergines and fry them from the skin side as well.
Fold in rosemary and mix with the marinade. Let it cool down and soak through.
Arrange aubergines on plates and sprinkle with parmesan slices.