%0 Journal Article
%A Acquistapace, Francesca
%A Díaz-Cano Ocaña, Antonio
%T Divisors in global analytic sets
%D 2011
%@ 1435-9855
%U https://hdl.handle.net/20.500.14352/42135
%X We prove that any divisor Y of a global analytic set X subset of R(n) has a generic equation, that is, there is an analytic function vanishing on Y with multiplicity one along each irreducible component of Y. We also prove that there are functions with arbitrary multiplicities along Y. The main result states that if X is pure dimensional, Y is locally principal, X \ Y is not connected and Y represents the zero class in H(q-1)(infinity) (X, Z(2)) then the divisor Y is globally principal.
%~