Cook and drain the pasta according to the instructions on the packet.
Cut tomatoes into small pieces, season with coarse sea salt and place in a cold, ungreased pan. Let it get hot and simmer over medium heat until almost all of the water is gone.
Cut the kohlrabi into 5 mm cubes. If you want them softer, you should blanch them in salt water.
Dice the avocado and onions and sprinkle with basil. Puree lemon juice, olive oil, cream, salt and pepper in a blender.
When the pasta and tomatoes are ready, mix all the ingredients together and grate the cheese. Now put everything in a baking dish and rub some cheese over it for the color. Place in the oven at 200 ° C top / bottom heat for 30 minutes and then grill in the oven for 5 - 10 minutes at 250 ° C as desired.