So, you drew all the lines to your map with Anti-Aliasing on and don't want to have to redraw the whole thing. Or, you want the outside edge of your territories to have some AA, but still want a crisp, clean edge for fill mode on the inside.
The following infographic should help you with the basics of cleaning up all those fuzzy edges.
FAQ
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This has been added to a Help page http://www.wargear.net/help/display/Fill%20Mode%20-%20Anti-Aliasing (Again, awesome write up Cram!)
Any objections to unstickying it?
A cure? Three simple molecules? Building for the small? Compassion for children?
Seek Yours Today. Get Uncomfortable.