Preheat oven to 425F
Peel potatoes and cut into small wedges.
Boil a pot of water on the stove top. Add some salt to the water.
Boil the wedges for 7 minutes.
Drain the potatoes to dry, and then agitate them in the colander so that that outsides get ragged.
Transfer the potatoes to a large bowl.
Squeeze juice of 4 lemons over potatoes.
Pour 1/4 cup olive oil over potatoes.
Add corn starch, flour and dried parsley.
Add 1 tbsp salt and 1/2 teaspoon pepper.
Stir the potatoes gently and then pour onto a sheet pan.
Spread potatoes out and pour chicken stock around potatoes but not directly over them so the coating stays on.
Transfer pan to oven and roast potatoes, uncovered, for 30 minutes.
Prepare charred tomatoes (below).
Remove potatoes and stir, scraping up any browned sauce and mixing it in with potatoes.
Return to oven for 10 minutes.
If potatoes are not browning, and pan sauce is still wet, broil for a few minutes until pan sauce is browning and potatoes start to look crispy or brown on top.
Remove from oven and mix browned sauce reduction in with potatoes, add salt and pepper to taste, and transfer to a serving dish.