Weil divisor

A Weil divisor on a Noetherian integral scheme is a finite integer combination of integral codimension-one closed subschemes.

Table of contents
- Prime Weil divisor Weil divisor
- Divisor class group Weil divisor

Prime Weil divisor

A prime Weil divisor is one integral codimension-one closed subscheme. At its generic point, regularity in codimension one supplies a discrete valuation and hence an order of vanishing.

Divisor class group ( $Cl (X)$ )

The divisor class group is the group of Weil divisors modulo principal divisors of rational functions.

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