Corrugated vs Solid PVC for sump pump drainage
You can use either.  Smooth wall PVC is a little less likely to clog, and is a little stronger but beyond that they both will carry water away.

The sump should discharge out the house above ground level.  In winter you would either detach the drain pipe from the outlet and allow the water to collect near the foundation (not ideal) or you would have some kind of air gap.  (Like a ground level drain that the discharge pipe is aimed at.)  This way if the underground portion freezes, the liquid water is still able to escape, running out over the ground.  If you skip this you could end up with a plugged discharge and a burnt out sump pump.

See: https://structuretech1.com/sump-system-defects/ for more information.