Hi Oranje, you should read pages 10 and 11 of your Warranty Book. Pay particular attention to the area title; "
YOUR RESPONSIBILITY FOR NORMAL VEHICLE USE". It states in here that you need to drive the car at least 6,000 miles per rolling 12 months. If not, they highly recommend using a battery maintainer.
So, I don't think the dealer will warranty your dead battery. Sorry.
Get a battery maintainer for about $55...or drive 'er more!!