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1
In a large bowl, using an electric mixer, beat the butter and sugar until light and creamy.
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2
Beat in the egg yolks until pale, about 1 minute.
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3
Sift together the flour, polenta and salt.
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4
Using a wooden spoon, stir the dry ingredients into the butter-egg mixture.
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5
Form the dough into 2 balls, one slightly larger than the other.
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6
Flatten each ball into a 1/2-inch-thick disk; wrap in wax paper and refrigerate for at least 30 minutes.
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7
On a lightly floured surface, roll out the larger pastry disk into an 11-inch fluted round.
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8
Transfer the dough to a 9-inch fluted tart pan with a removable bottom.
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9
Fit the dough evenly into the pan without stretching and run the rolling pin over the rim to trim away the extra dough.
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10
Prick the tart shell all over with a fork and refrigerate for 1 hour.
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11
Preheat the oven to 375.
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12
Bake the tart shell for about 15 minutes, until golden.
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13
Let cool slightly.
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14
Using a small sharp knife, peel, quarter and core the apples.
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15
Slice them lengthwise 1/4 inch thick.
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16
Toss the apple slices with the sugar and flour.
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17
Sprinkle the polenta over the bottom of the cooled shell.
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18
Spoon the apple filling into the shell.
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19
On a lightly floured surface, roll out the other pastry disk into a 10-inch round and lay it over the apple filling.
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20
Press the edges all around to seal and brush the dough with the egg yolk glaze.
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21
Using a small sharp knife, cut a small hole in the center to vent steam.
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22
Sprinkle the coarse sugar over the top.
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23
Lower the oven temperature to 350.
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24
Bake the tart for about 1 hour, until golden brown all over.