How can I create a curves adjustment layer in JavaScript?

I've been trying a few different approaches along the lines of:

var newLayer = activeDocument.artLayers.add(); // Create a new ArtLayer object

newLayer.name = "MyLayer"; // name it for later reference

app.activeDocument.artLayers.getByName("MyLayer").kind=LayerKind.CURVES

When I do, I get an error that I can only change the layer's kind to text or normal.  Anyone know how to create a new curves adjustment layer via script?