Acquistapace, FrancescaDíaz-Cano Ocaña, Antonio2023-06-202023-06-2020111435-985510.4171/JEMS/253https://hdl.handle.net/20.500.14352/42135We 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.engjournal articlehttp://www.ems-ph.org/journals/show_abstract.php?issn=1435-9855&vol=13&iss=2&rank=2&srch=searchterm%7CDivisors+in+global+analytic+setshttp://www.ems.org/restricted access512.7Real analytic setsDivisorsGeometria algebraica1201.01 Geometría Algebraica