First of all: I want to look at the postion of your improvement line starting with
34.Be3 The fact that white has played Be3 gives black the posibility of an intermediate check:
after
38.gxf4, http://www.france-echecs.com/diagramme/imgboard.phpfen=4k3/2p1b3/1p2p3/p1p1PP2/P... 4k3/2p1b3/1p2p3/p1p1PP2/P1P1K3/1P2BR2/8/7r b - -
Now black has the intermediate check [b]38.....Rh4+ which is of course impossible with the bishop on f2.[/b]
All the same, even after your sample line I still dont see a clear win. Whites best seems
I.39.Bf4, Bg5 when I see no clear winn for white after either
A) 40.fxe6, Ke7 41.Kf5,Bxf4 42.Rxf4,Rh5+= (not 42...Rxf4?? 43.Kxf4,Kxe6 and whites wins)
B) 40.f6,Kf7! 41.Rf1,Bxf 42.Rxf,Rxf 43.Kxf, Kg6 = While
II.39.Rf4,exf 40.Kxf5,Rh5+ 41.Ke6,Bg5! provideds another usefull simplicfication
In the game the position after blacks 40th move is:
http://www.france-echecs.com/diagramme/imgboard.phpfen=2k5/2p1b3/1p2P3/p1pK1p1r/... 2k5/2p1b3/1p2P3/p1pK1p1r/P1P5/1P2BR2/8/8 w - -
Here your suggestion
41.Ke5 is positional sound, but unfortunately has a tactical drawback:
41.....f4+! 42.Kxf4 (forced), Bd6+ 43.Kg4 (43.Ke4,Re5+ and 44...Rxe6), Re5 and white's e-pawn drops.
All I can say at the moment is that white certainly has a small advantage, but I've not found
a clear winning line yet.
But I have to admit, that I probably should spend more time on it,
as I have the feeling I've not yet grasped all the important characteristics yet. One of the problems is that rook endings, after an exchange of bishops seem to have a
wide drawing margin.
[img]http://www.france-echecs.com/diagramme/imgboard.php?fen=[/img