Complete intersection

A complete intersection is a concept from algebraic geometry that refers to a type of geometric object defined by the intersection of multiple subvarieties in a projective or affine space. Specifically, a variety \( X \) is called a complete intersection if it can be defined as the common zero set of a certain number of homogeneous or non-homogeneous polynomial equations, and if the number of equations is equal to the codimension of the variety.