If the peaches, nectarines or apricots you've picked up at the market are not quite as flavorful or as ripe as you'd like, try poaching them in a light sugar syrup:
Combine equal parts water and sugar in a medium saucepan; stir over medium heat until the sugar dissolves.
Add the fruit, pitted and cut in half; there should be enough liquid to come halfway up the sides of the fruit, without covering the fruit.
Cover and cook over medium to medium-low heat until the fruit has softened, or to the desired consistency.
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Transfer the fruit to a bowl or plate using a slotted spoon, leaving the liquid in the saucepan; uncover, increase the heat to high and boil for a few minutes, until the mixture becomes slightly syrupy.
Remove from the heat and let it cool; flavor it with a touch of fruit liqueur, if desired.
Serve the fruit with the cooled syrup. And ice cream.