Lack of stiffness = easier to bend the ski into a smaller radius when carving
Tight sidecut = ski's natural ability to carve small radius, at the downside of inability to cleanly carve large radius turns
Lack of sidecut = improve's the ski's ability to be pivoted, or throw sideways, a tighter sidecut will increase the amount of chatter and grabbiness when thrown sideways which can feel very uncomfortable at speed
Speed = more force generated to make a stiffer ski easier to bend into a smaller radius
Rocker = reduced running length, making the ski easier to pivot and swing around
Pop = the zing produced at the end of the turn can help you drive the ski into a smaller radius into the next turn, this is related to speed
Higher edge angles = more force to bend the ski into a smaller radius
Narrower ski = quicker edge-to-edge, allowing you to leave one turn and enter another at a quicker pace
Of course, the skier has to do all of this stuff, and will generally trump all. The better skier will generally be able to make quicker turns, regardless of his or her equipment.
Originally Posted by lloydd
To add to my above post, I've always thought I wanted soft skis to make quick turns in tight places in soft snow. I was recently told that reverse camber negates the need for soft Skis because the ski is already flexed in the position necessary to turn it, so a stiffer ski will suffice in soft snow and be better at speed/crud etc. Just trying to bring it all together and maximize my demo time.
This is done at the expensive of stability on 2d snow. Reverse camber gives a washy feeling to the ski, unless they're at an appropriate edge angle (given the stiffness, reverse camber, and sidecut). Try to haul while carving down hardpack, and the ski will feel extremely nervous in the turn transitions.