A Note on the Relationship between Weil and Cartier Divisors
A Note on the Relationship between Weil and Cartier Divisors
Using a generalized equivalence relation, a subquotient of the group of Weil divisors is shown to be isomorphic to the group of Cartier divisors modulo linear equivalence for a reduced subscheme of a projective space over a field. A difficulty of the nonreduced case is discussed.