Take the dough out of the fridge five minutes beforehand. Place it between two large sheets of baking paper and roll it out. It should be fairly thin but not too thin. Check that you have rolled out enough dough to cover the bottom of the 20 cm diameter mould and that you have enough dough left over to make the edges.
Cut out the base of the tart and place it on the bottom of your buttered or lined baking tin.
If the pastry starts to get a little sticky, put it back in the fridge for 2/3 minutes before making the edges.
Then make a ball with the dough scraps, and flatten again between two sheets of baking paper to make a long rectangle of dough that will allow you to cover the edges of the tin.
Gently seal the edges and bottom of the pie by pressing with your fingertips, then prick the pastry with a fork.
Preheat the oven to 160°C. Place a sheet of baking paper over the dough and cover the sheet with baking balls (or rice, or something else to put an even weight on the base).
Bake for 20 minutes, the pastry should be golden and cooked (you can check with the tip of a knife to see if it's cooked through, and possibly remove the weights for the last 5 minutes of baking). Remove the pie from the mould and leave to cool on a wire rack.
Once the pastry has cooled, place the chestnut cream mousse on the base of the tart and smooth with a spatula to distribute the mousse evenly.
Then carefully pour in the pear compote (or the sliced poached pears).
Cover the pears with the caramelised hazelnuts and chill for 30 minutes before serving.) Enjoy!