Heat the oven to 390°F (200°C). Wash the potatoes and cut them into 4 slices. Season with salt, pepper, and rub with olive oil.
Arrange on a baking tray and bake in the oven for about 30-45 minutes, until soft (the fork should smoothly enter the flesh). Thinner slices will be ready earlier.
Once cooked, spread the pesto over the potato slices, sprinkle with crumbled feta cheese and pomegranate seeds. If necessary, season with salt and pepper, to taste.