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1
Preheat oven to 375F.
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2
Heat oil in a 12-inch heavy skillet over moderately high heat until hot but not smoking, then saute onions, stirring occasionally, until they begin to brown, about 4 minutes.
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3
Reduce heat to moderate and cook onions, stirring occasionally, until golden brown, about 12 minutes.
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4
Peel potatoes and slice paper-thin crosswise (slightly less than 1/16 inch thick) with slicer.
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5
Combine potatoes and cream in a 2-quart heavy saucepan (potatoes on top may not be completely immersed) and bring to a boil.
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6
Remove from heat and cool to warm, about 30 minutes.
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7
Transfer one third of potatoes with a slotted spoon to a lightly oiled 3-quart shallow baking dish (reserve any cream in pan), spreading them in an even layer, then sprinkle evenly with half of onions and one third of each cheese and season with 1/4 teaspoon salt and 1/4 teaspoon pepper.
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8
Make 1 more layer each of potatoes, onions, cheeses, and seasoning in same manner, then top with remaining potatoes and remaining cheeses.
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9
(Do not season top layer.)
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10
Pour reserved cream evenly over top and cover tightly with foil.
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11
Bake in middle of oven 45 minutes.
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12
Increase oven temperature to 400F, then remove foil and bake until top is golden brown, 12 to 15 minutes more.
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13
Let stand 15 minutes before serving.
