Adobe doesn't make Linux software....every time I go looking for news all I see is things like "not yet, and no plans for the near future".
Illustrator apparently works well under Crossover Office, so that's an option.
I'm no expert on vector applications, but I've got
tgif installed, and it seems a bit more interesting than xfig. Also, looking on their website (links to other projects), they mentioned "The GNU Yellow Vector Editor - a vector-based drawing program in the spirit of Adobe Illustrator and Corel Draw"...although the link doesn't seem to be working for me at the moment.
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Poop....I found a link to it, and read this: "The development was started in 1997 and and closed in 2002"
But I did also find this:
Linuxartist , which should provide us with some additional tools to experiment with