Hi Gus,
I actually asked the guy that very question. Here is the answer straight from the horse's mouth...
"The projector comes with 3-year warranty. This is a world market item, you can contact SONY USA for any problem after you purchase it. At the worst situation, we have an office in Japan to support our customers so you will not have issues dealing with SONY Japan."
So I think the answer to your question is, yes, your projector has a warranty that Sony will honor, but there is a chance you may have to pay to ship it to Japan to get them to do so.
I found a company in North Carolina selling the 11HT for $500 more than the ebay guy WITH a US warranty and bought the projector from them. About 2 days after I purchased my projector, they raised the price to $6,499, and then the following week raised it again to $6,799. Yikes! As of today, though, they have lowered the price back down to $6,200. I guess this projector is priced like the "catch of the day".
Also of note, I hear Sony is cutting the warranty on their projectors. Any projector purchased after today (Nov 30th) now carries a 2 year warranty, not a 3 year warranty.