A very tempting weakness to create for oneself is that of moving the bishop's pawn. This happens when the king's pawn (on e5) needs support. This can be very dangerous for Black, however, when White still has his king's bishop. Opening up the king this way lets the bishop take away one of the only two squares for the king.
     Greco's mate is very much like the back-row mate. When Black creates an opening for the White rook, his own pawns get in the way.
     Notice that when the knight moves to e7, it is double check. Once from the bishop and once from the knight. If the knight moved to f4 instead, Black could interpose his rook with Rf7. Since White would not be able to give check next move without trading off his bishop, Black could give himself some freedom by slipping in the move, g6.

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