Roast poblanos the day before or at least 1 hour before making soup. (You can follow my recipe for roasting poblanos on my you tube channel Catherine's Plate.)
In a large saucepan, heat up olive oil over medium high heat.
Add onion and saute for 5 minutes.
Add in garlic and cumin, stir for one minute.
Pour in chicken stock and add salt to taste.
Add in poblanos (no seeds or stems). Heat for 5 minutes.
Add in heavy cream and stir.
Using a hand Pulverizer or blender, puree until desired consistency is met.
In a small bowl mix corn starch into cheese.
Stir cheese into soup until melted and soup has become thick. turn burner off.
Garnish with a little shredded cheese.
Serve & Enjoy.