I didn't try very hard, but I couldn't find a "curl" trademark here for software:
http://tmsearch.uspto.gov/bin/gate.exe?f=tess&state=4808:iz1...
But the law follows "use it or lose it" rules. If you don't defend your trademark, then in the eyes of the court it is no longer a trademark.
Think of the term literally; if it's not exclusive to you, it's not longer a "mark" of your specific "trade". It's just a "mark".
Not true. Unregistered marks can still be defended (it's just harder).
That's why there's both ™ and ® symbols. Trademark and Registered Trademark.
But the law follows "use it or lose it" rules. If you don't defend your trademark, then in the eyes of the court it is no longer a trademark.