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Prepare the shortcrust pastry: In a bowl, mix the flour, sugar, cinnamon, and salt. Add the cold butter in small pieces, water, and rum. Quickly knead everything with your hands or a hand mixer into a smooth dough. Wrap the dough in cling film and let it rest in the fridge for about 30 minutes.
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Prepare the filling: While the dough is chilling, wash, halve, and pit the plums. Preheat the oven to 180 degrees Celsius (160 degrees Celsius fan-assisted). In a bowl, mix the quark and crème fraîche together. Combine the vanilla pudding powder with the sugar and add it to the quark mixture. Finally, stir in the cream until you have a smooth consistency.
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Make the streusel: Place the butter in a bowl and mix with sugar, cinnamon, salt, and flour to form a crumbly dough. Fold in the chopped hazelnuts.
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Assemble the cake: Take the shortcrust pastry out of the fridge and press it into a greased springform pan (Ø 26 cm), forming a 5 cm high edge. Prick the bottom several times with a fork to prevent it from rising while baking. Spread the quark filling evenly on the crust and smooth it out. Place the plum halves upright and close together in the filling.
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Add streusel and bake: Evenly distribute the streusel over the plums. Bake the cake on the lower rack of the preheated oven for about 65 minutes until golden brown. After baking, let the cake cool for at least 3 hours, ideally overnight, to set properly and develop the flavors.