Live Action Short -
Favorite: Curfew at 2/5
Next Best: Death of a Shadow at 9/2
Another race that's too close to call, mostly because very few people have actually seen these movies. Don't sleep on Buzkashi Boys at 11/2.
Documentary Short -
Favorite: Open Heart at 4/7
Next Best: Inocente at 5/2
This is one of the closest races of the evening, but it seems to have boiled down to just those two. Mondays at Racine is in a distant third at 6/1.
Favorite: Paperman at 1/3
Next Best: Head over Heels at 6/1
Paperman is easily a Lock for Best Animated Short. I actually watched this one, and it was pretty good, but still I wish that The Simpsons (currently 16/1) were at least in the running.