bad 1 0 game, but the computer finds a surprising checkmate at the end

Move 73. White queen is en pris, and rook follows, and mate follows. But another quite move (computer analysis, wouldn't have spotted it even in a longer game!) gives mate in 4

http://en.lichess.org/QZe6AXRX/black#73

Is your name based on the anime? :p

On the manga actually, but yes ;)

Is it possible you linked to the wrong game? This one ends after 37 moves and there is no trick available for white.

right game, but a typo. Move 37, instead of grabbing the queen

now there is an analysis apparently, so I'd just say 37. ... Qd4! setting up a mating net