sicilian problem

I have dificulty with this line of the sicilian(rarely see it.  which is probably one of the reasons I have such difficulty with it)what are the ideas after q-d1, qxe7 and q-c7?  And what do you think is best. 

Which side do you have difficulty with? You are playing white or black?

Also, 6...a6 is a bad move, the idea is to prevent white from playing Nd6+ by playing 6...d6 instead.

 I have difficulty with this playing the white side.  It is played at top level (probably not a lot.  But, I do know it is played)so I would hardly call this bad

I do have around 150 games (versus 30000 for 6...d6) in my database with 6...a6, and some of the players have master level ratings - you make a point.

White scores 76% in 150 games, which is probably exaggerated due to small sample size, but still shows that white should have no problem. I just think white's game is simple with free-flowing development, already a target on the d-file and the bishop pair (which he might surrender to ruin black's pawn structure on the kingside and prevent d5, for example).

Here's an example continuation of the line you posted, with explanation of the thematic ideas:

1. e4 c5 2. Nf3 Nc6 3. Nc3 Nf6 4. d4 cxd4 5. Nxd4 e5 6. Ndb5 a6 7. Nd6+ Bxd6 8. Qxd6 Qe7 9. Qxe7+ Nxe7

10. Bg5 (looking at f6 & e7 knights which control d5 square. This is in my opinion by far the best square for the bishop.)

10...b5 (preparing to put the bishop on the long diagonal & restricting white's light-squared bishop. there's also the idea of playing b4 to take away the c3 knight's control of the d5 square)

11. O-O-O (white has some options here, but I like this the most- immediately putting a rook on the d file and more control on d5 square. 11. f3 is another idea - to secure e4 pawn in case of a b4 pawn advance by black, which would force white to surrender the bishop pair with Bxf6, which he might like to keep)

11...Bb7 (as planned)

12. f3 (now white needs to secure the e4 pawn, while 12. Bd3 blocks the d-rook's control of d5)

12...Rc8 (Note black still can't achieve ...d5 because of white's dark-squared bishop's grip on the f6 knight. 12...d5 loses immediately to 13. Bxf6 gxf6 14. Nxd5)

13. Be2 (finally connecting rooks)

13...b4 (taking away the knight's control of d5 by forcing it to a4.

14. Na4 (eyeing b6 square with possible fork ideas if black starts thinking he can play ...d5)

14...Rc6 (14...d5 fails tactically here. It immediately loses to 15. Bxf6 gxf6 16. exd5 Nxd5 17. Bxa6 Bxa6 18. Rxd5 is all forced and white has an easily won game, with extra pawn and much better pawn structure. 14...Rc6 restricts the knight's access to b6, from which it could control d5 square.)

And now white could continue with something like 15. Rd3 to double on the d-file- with great pressure and a nice advantage.

As you can see, white gets nice initiative in keeping pressure on the d-file, and has all the options- he can keep his bishop pair advantage, or trade it off for another advantage like a superior pawn structure. The big battle is around the d5 square! If black can achieve d5, then he will have rid himself of his major weakness and maybe equality. Also, if black is not careful, then the d pawn might even fall, or white may be able to create more targets on the queenside like the a and b pawns.

All of this said, I have 0 playing experience in the 6...a6 line of the sveshnikov, this is just my take on it after spending some time studying the position and running through some games.

I hope this is useful to you & good luck in your games.

 Thanks for the help.  I will definitely investigate your ideas more deeply later. 

As far as I know there is two main options for white in the diagram given above: 9.Qxe7 and 9.Qc7. The 2nd line seems to be more ambitious, but after 9.-d5 10.Qxe7 Nxe7 black has equalised and white will have a hard time to realise the advantige of the two bishops. After 9.Qxe7 Nxe7 10.Bg5 is the right continuation. For furter information you should find theese positions is a database. Good luck!