Finely chop the white chocolate and add to a heatproof bowl.
Heat the cream until almost boiling - either in the microwave using 45-second intervals at medium power or in a double boiler over gently simmering water.
Pour the almost boiling cream over the chopped chocolate. Let sit for a few minutes, then whisk until smooth and the white chocolate is completely melted. If the chocolate hasn't completely melted, microwave for 45-secone intervals on medium power, whisking between each interval. Alternatively, return to the double boiler over gently simmering water while gently stirring. Set aside.
In a large bowl, beat together the cream cheese, cornstarch and sugar for about 2-4 minutes until smooth and creamy. Occasionally, turn off the mixer and scrape down the sides and bottom of the bowl to ensure that there are no lumps.
Carefully mix the melted chocolate and cream mixture into the cream cheese mixture. I typically do this by hand using a wire whisk. I do about 1/2 at a time. If using an electric mixer, ensure that it's on a low speed to avoid splashing.
In a small bowl, whisk together the eggs. Then whisk the eggs into the cheesecake batter. Again, this can be done using a wire whisk or with an electric mixer on a low speed. Stop mixing when the eggs are incorporated and you no longer see pieces or lumps of egg.
Pour the batter over the prepared crust.
Place in the preheated oven on a rack about 1/3 from the bottom. Bake for approximately 40-45 minutes, or until the top looks almost set and if you give the pan a nudge it still has a very slight wobble but isn't wobbling the way a glass of milk would.
Turn off the oven and open the oven door. Cool the cheesecake like this for about 10 minutes, then remove from the oven and cool until it reaches room temperature.
Once room temperature, cover the pan and place in the fridge to chill for at least 4 hours or overnight.