For Maverick users who have NVIDIA and/or ATI graphics together with activation of graphics drivers in the Additional Hardware Window are likely to suffer from the issue as described in the question. These drivers (especially nvidia) create a file called /etc/X11/xorg.conf. This file gives details about resolutions and describes the actual driver in use.
However, during the upgrade to Natty, the file remains in place - but the proprietary driver from NVIDIA is replaced by an open-source driver called nouveau. Since the file is still in place, the underlying graphics system called "X" still tries to invoke the old NVIDIA driver because its relying on the instructions in the xorg.conf file - the NVIDIA driver is not there resulting in black-screens etc.
For these users, the suggested route is to remove this file BEFORE upgrading.
However, this can be overcome by booting from a Live CD - the desktop CD.
Start a terminal and type
gksudo nautilus
then navigate to the folder /etc/X11/xorg.conf on your local hard-drive and either rename it or remove it.