Smooth algebraic curve
= Smooth algebraic curve
A smooth algebraic curve is a one-dimensional <algebraic variety> whose <local ring> at every point is regular.
This is the nonsingular subclass of <algebraic curves>.
= Smooth algebraic curve
A smooth algebraic curve is a one-dimensional <algebraic variety> whose <local ring> at every point is regular.
This is the nonsingular subclass of <algebraic curves>.