如何在全屏独占模式下摆脱鼠标光标？

I'm working on a simple 2D game engine in Java, and having no trouble with FSEM, buffer strategies, and so on; my issue is with the mouse cursor. In windowed mode, I can hide the mouse cursor, no problem, by using setCursor() from my JFrame to set a wholly-transparent cursor. However, after a call to device.setFullScreenWindow(this) to go into FSEM, the mouse cursor comes back, and subsequent calls to setCursor() to set it back to my blank cursor have no effect. Calling device.setFullScreenWindow(null) allows me to get rid of the cursor again - it's only while I'm in FSEM that I can't get rid of it.I'm working on a simple 2D game engine in Java,