In a large bowl, beat cream cheese until smooth. Add sugar and cornstarch; beat until blended.
Beat in eggs one at a time, mixing well after each addition.
Blend in sour cream and vanilla until smooth.
Pour batter over crust and smooth the top.
Bake for about 55 minutes, until the center is almost set. Cool for 10 minutes.
Run a knife around the edge to loosen. Cool to room temperature, then refrigerate for at least 4 hours.