He didn't resign. Google is your friend:
http://astrakhan2010.fide.com/alekseev-lost-on-time-against-leko.html
Why Alekseev resigned?
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[Event "FIDE GP"]
[Site "Astrakhan RUS"]
[Date "2010.05.11"]
[Round "2"]
[White "Leko,P"]
[Black "Alekseev,Evgeny"]
[Result "1-0"]
[BlackElo "2700"]
[Chesscat "CHESSCAT 1.0"]
[ECO "A61"]
[Eventdate "2010.05.10"]
[Plycount "80"]
[WhiteElo "2735"]
1.d4 Nf6 2.c4 e6 3.Nf3 c5 4.d5 d6 5.Nc3 exd5 6.cxd5 g6 7.h3 Bg7 8.e4 O-O 9.Bd3 b5 10.Bxb5 Nxe4 11.Nxe4 Qa5+ 12.Nfd2 Qxb5 13.Nxd6 Qa6 14.N2c4 Nd7 15.O-O Ne5 16.Nxc8 Raxc8 17.Nxe5 Bxe5 18.Bh6 Rfe8 19.Qd2 Qb7 20.Rfe1 Qxb2 21.Qxb2 Bxb2 22.Rxe8+ Rxe8 23.Rb1 Be5 24.Kf1 Rd8 25.Rb7 Rxd5 26.Rxa7 Rd8 27.a4 c4 28.Re7 Bg7 29.Bf4 h5 30.Rc7 c3 31.Be3 Rb8 32.Ke2 Rb4 33.a5 Ra4 34.Rc5 Bf8 35.Rc8 Kg7 36.Bb6 Bb4 37.Kd3 Ra2 38.Bd4+ f6 39.Rc7+ Kf8 40.a6 Rxa6
1-0