Jose,
In most cases, it's as simple as the offended party (the trademark holder) filing a Uniform Domain Dispute Resolution Policy (or UDRP for short) complaint.
http://directnic.com/legal/udrp.phpICANN looks at it, along with the supporting trademark information, then makes a determination. Much like Cafepress, they tend to err on the side of the trademark holder. The exception is sites like this one which have existed far longer than the company of the current trademark holder. It's made more convoluted by the fact that they (AI) have played musical chairs with the ownership of the trademarks.
In short, Amiga Inc could get a site with the word Amiga in it shut down (including this one) in a matter of a day for violating it's trademarks, making it the responsibility of the site's owner to defend it legally, meaning spend money they may or may not have to defend the right to run a site that they may or may not depend on.
It's a matter of bully tactics and one of the reasons I try to keep you guys from "going all moobunny" around here is that while this site and you guys mean a great deal to me, I just don't need the headache of having to fight Amiga Inc for the right to support the Commodore Amiga community and platform which I have been doing in various forms successfully since 1989.
From the other perspective, they (AI) will hopefully continue to understand that it's not in their best interest to take such an action from a public relations standpoint, so we have a rather normal give and take there.