Reduce oven temperature to 300°F (150°C).
In a large bowl, mix the cream cheese until smooth.
Add brown sugar, salt, vanilla extract and cornstarch.
Mix until combined.
Add sour cream and mix again until well combined.
Add eggs one at a time until each egg is incorporated.
Try not to overmix the batter to incorporate as little air as possible.
Transfer a bit less than a half of the cream cheese mixture into another bowl.
Add pumpkin puree, cinnamon, cloves, ginger, and nutmeg.
Mix until well combined.
Pour the cream cheese mixture over the prepared crust, by alternating spoon large dollops of each cheesecake filling into the pan.
Use a knife or skewer to gently swirl them together for a marbled effect.
Bake at 300°F (150°C) for 40 minutes.
Remove and run a sharp knife around the inside edge of the pan.
Let it cool completely at room temperature. Cover and refrigerate overnight.
Cut into squares and serve.