Complex sentence: This construction has been generalized, in algebraic geometry, to the notion of a divisor, which includes several different abstractions of codimension-one subvarieties of algebraic varieties, the sets of solution points of a system of polynomial equations.
Split into simpler sentences: This construction has been generalized, in algebraic geometry, to the notion of a divisor. There are different definitions of divisors, but in general they form an abstraction of a codimension-one subvariety of an algebraic variety, the set of solution points of a system of polynomial equations.