If we get very specific here: a Crostata (Italian) is very often a free formed pastry and a Tarte (French) is more structured. The actual ingredients may vary according to local supplies, the fruits that are in season and the availability of eggs, butter and sugar. In the United States, we often just use the word "Pie" for anything that is encased in pastry no matter how big or small, fruit or savory, baked or fried. No matter what you call it, when it's this good your mouth will be too full to talk about it anyway.
As part of the challenge, we were given the recipe for the pastry and it follows:
1/2 cup minus 1 Tbls. superfine sugar
1 3/4 cup all purpose flour
pinch of salt
1 stick (8 Tbls. ) cold unsalted butter cut into small pieces.
grated zest of half a lemon
1 large egg and 1 large egg yolk, lightly beaten in a small bowl 1) Whisk together the flour, sugar and salt in a bowl.
2) Rub or cut the butter into the flour until the mixture is coarse crumbs.
3) Pour the flour mixture onto the work board, make a well in the center of the mounded flour mixture and pour the beaten eggs into it.
4) Add the lemon zest to the flour/butter/egg mixture
5) Use a fork to incorporate the liquid into the solid ingredients and use your fingertips.
6) Knead just until the dough comes together into a ball
7) Shape the dough into a flat disk and wrap in plasic. Chill for at least an hour
8) When ready, remove the chilled dough and roll out thin and a little bigger than a 10" tart pan.
9) Carefully lift the dough and place into the tart pan, pressing gently around the inside edges and rolling your rolling pin over the top to trim the pastry so it fits the tart pan.
10) Chill the tart shell in the pan for about 30 minutes so the pastry doesn't shrink when cooking.Fill and Bake as your recipe suggests, or blind bake (pre bake ) the tart shell for filling with a custard or fruit.
Tarte Aux Poires Et Chocolat recipe (* waiting for permission to reprint, please check back) and seriously consider getting a copy. I have probably made over 30 recipes just from her book.