1. Preheat the oven to 350 °F.

2. For the topping, brush the bottom and sides of a 9-inch round springform pan with oil. Sprinkle sugar on the bottom.

3. Arrange the peaches in the pan, cut side down, with a walnut half in each.

4. For the batter, whisk together flour, baking soda, ginger, and cinnamon, then add sugar. Beat together eggs, cream, and oil, then mix into dry ingredients until smooth.

5. Pour the mixture evenly over the peaches and bake for 40 minutes, until firm to the touch. Unmold onto a serving plate.

6. Serve warm with vanilla or ginger ice cream.