Finely dice the shallots and let them soak in the butter, deglaze with the vinegar, reduce and deglaze with the poultry stock.
Core the chayotes, cut into pieces and add - let simmer until soft. Season with salt and pepper, add the cream and puree.
Core the peppers, brush with the olive oil and cook in the oven at 180 ° C until soft. Peel off the skin and finely grind it in a mortar together with salt.
Melt the isomalt, add the finely diced olives and let them steep briefly, pour onto a baking sheet or Silpat mat. After solidification, finely chop and spread as finely as possible on a Silpat mat (baking paper) and allow to melt again in the oven (180 ° C). Let cool and break into suitable pieces.
Serving:
Pour the soup into beautiful glasses, add a teaspoon of whipped cream, stir the paprika oil well and pour some of it over the cream. Place a piece of the olive brittle on each glass.