lightvector wrote:
Right now, white should be winning. The thing white has to be careful of is the thousand year ko shape in the upper right. If it ends as seki, and all other areas of the board resolve "as normal", then white will win easily.
But if black kills the upper right, AND does not lose any moves in the endgame on the rest of the board, including filling the dame, then black will win (by 1.5). If black loses even one extra dame to white (a swing of 2 points), white will win even if black kills the upper right white group.
An important point. IIUC, based on what you say, currently White is ahead by 7 pts. on the rest of the board, which, with komi will give White 14½ pts. If Black kills the top right corner that will give Black 16 pts., for a win by 1½. Is that right?
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Black must prepare at least one *big* threat more than white before starting the ko in the upper right in order to win it. A small threat is not enough - white will happily ignore any small threat to live with points on the upper right, and win the game.
Since ko is black's only way to win, the upper right becoming ko is completely inevitable in this game. White has no way to stop it, and black WILL start it at some point.
Will Black start the ko? See below.
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Also, mostly it doesn't help white much to "fight" the small ko in the upper right early on, because white has no followup to win it. Black can take it back any time later. The only thing that fighting it does is to delay and mess with the exact moment that black can start it, and to buy white a little bit of time to remove bigger threats, so white must wait until the end to try to fight it.
Suppose that Black is the komaster of the 10,000 year ko. The ambient temperature looks like it is 2 pts. by area scoring. If so, Black's equity in the corner is 14 pts, (16 - 2). That depends upon Black only being komaster, and not komonster, with the ability to delay winning the ko. But, as you indicate, Black actually does not have a large enough ko threat to be komaster. In the ko fight White can ignore Black's threat. Since 14 pts. is not enough to win, as you point out above, White may be able to win the game by starting the ko, even if White does not play a ko threat.
The extra move that gains 2 pts. should be enough.
OC, that's a little too close for comfort, but it does suggest that a winning play for White is to start the ko fight NOW. From what you say, Black may have to ignore White's threat, which will gain more than 2 pts., so the win should be secure.
What happens if KataGo plays White 234 as atari in the top right corner?
Edit: The same strategy is available earlier in the game, which makes it harder for Black to be komonster. White 192 is an obvious possibility. Earlier, the math is slightly different because it is more costly for White to lose the ko.
Edit2: Starting the ko with White 232 is even better, eh?