Oliver,
I had/have the same problem from when I bought mine new.
First make sure you have the latest tank vent setup.
Well... at least the revision (11.2000 tech bulletin) just before they changed to the new 460 style gas tank setup.
You could have a vacuum developing in your gas tank causing a starving for gas issue.
Try this after a stall.
Open your gas cap and listen for a hiss from a vacuum sucking in air.
If that's it then you need to address that issue.
Second issue was the low speed adjustment (L screw).
I ended up removing the screw stops on the L and H screws.
I left the H screw at the stock setting and then adjusted the L screw to about 2 1/2 to 3 turns open to stop it from stalling after a cut.
3/4 turn open is all the stock screw stops will allow.
That sure seemed waaaaay beyond normal to me so I told my local Stihl dealer and he said that didn't surprise him at all.
I thought what the _ _ _ _?
But whatever....it runs now.
Also, this was after disassembling the carb and dip/soak cleaning twice.
Must be some sort of internal flaw in the carb possibly.
Now keep in mind I'm not saying this is what you should do.
This is what worked for my saw.
I don't like going outside the recommendations of the manufacturer....AT ALL!
I am still not comfy with that L screw setting....but....it worked.
As far as the service manual, this link will get you to the bulletins.
Just change the xx to tt.
And then you can request that he post the service manual.
He used to have all the manuals posted but I can't find a link to them on his site.
The bandwidth was probably costing him a fortune.
hxxp://www.giftsofwood.com/stihl_info TI 046.htm
Good Luck!
Ozzie