Opera mate
An opera mate is a back-rank checkmate in which a rook delivers mate on the eighth rank while a bishop guards that rook and also controls the square in front of the king.
In this pattern a rook lands on the back rank next to the enemy king, and a bishop on the diagonal through the landing square both protects the rook and seals the square in front of the king. The defender's own pawns or pieces fill the remaining squares, and nothing can capture the rook.
The name comes from the game Paul Morphy played at the Paris opera in 1858, which ended with a rook mate on d8 supported by a bishop on g5. The example uses the same geometry. The bishop on g5 reaches d8 along the g5-d8 diagonal, so the king cannot take the rook, and on the way it covers e7. The rook sweeps d7 and, through the king, f8, while the pawn on f7 blocks the last square. Black's knight and bishop on their starting squares cannot reach d8.
To use the pattern, count the defender's guards of the back rank before you go for it. If a piece of theirs can reach d8 or block the file, the mate evaporates. To defend, avoid leaving your king stuck on e8 with pieces still undeveloped around it, and watch for rooks that control an open file.
The rook must be protected when it lands. A rook check that the king can simply capture is only a loss of material.
Compare it with Anastasia's mate. Anastasia's mate is a checkmate in which a knight and a rook trap a king on the edge, with the king's own pawn blocking its escape and the rook checking along the edge file.
Also worth reading is Hook mate. A hook mate is a checkmate in which a rook gives check next to the king, a knight guards the rook, a pawn guards the knight, and one of the defender's own pawns blocks the last flight square.
A neighboring idea is Morphy's mate. Morphy's mate is a checkmate against a king in the corner in which a bishop gives check along the long diagonal while a rook controls the neighboring file, and the king's own pawn blocks the last flight square.
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Related terms
A back rank mate is a checkmate on a player's first or eighth rank, typically by a rook or queen, delivered when the king's own pawns leave it no square to step to.
Morphy's mate is a checkmate against a king in the corner in which a bishop gives check along the long diagonal while a rook controls the neighboring file, and the king's own pawn blocks the last flight square.
A mating attack is a sustained assault on the enemy king, usually built from several pieces and often with sacrifices, whose aim is checkmate rather than winning material.
A battery is two of your pieces lined up on one file, rank or diagonal, with the rear piece backing up the front one so that both press on the same target.
A mating net is a setup in which the enemy king is surrounded by attackers and its own pieces so tightly that checkmate cannot be avoided, even if the final blow is a move or two away.
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