if alarm was on and battery then died, will alarm be on again when it is charged?

I called AAA to come and open the car because I lost the remote and needed to use a key (and the key I have works for the ignition but not for the door). AAA opened the car, the alarm went crazy. AAA told me that it would last 15 minutes and then go off, but it must have lasted longer than that because the battery was fine before this and now it is dead. It is a relatively new battery. So now I have no remote, a dealer in Boston charges a ripoff price to even program a remote. I am trying to get a remote through another source. Question is, if I call AAA again and have them jumpstart the battery before I get the remote, will the alarm then go off again or would that have been disabled because the battery died? I do not want to have the car towed to the Boston Volvo people because they are unreasonable and not nice to deal with.