2026-06-29T09:28:18Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/421352023-08-25T11:02:30Zcom_20.500.14352_14col_20.500.14352_15

Divisors in global analytic sets Acquistapace, Francesca Díaz-Cano Ocaña, Antonio 512.7 Real analytic sets Divisors Geometria algebraica 1201.01 Geometría Algebraica 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. MURST GEOR EC Depto. de Álgebra, Geometría y Topología Fac. de Ciencias Matemáticas Instituto de Matemática Interdisciplinar (IMI) TRUE pub 2023-06-20T00:10:40Z 2023-06-20T00:10:40Z 2011 journal article https://hdl.handle.net/20.500.14352/42135 1435-9855 10.4171/JEMS/253 eng Grupo UCM 910444 MTM2008-00272 HPRN-CT-2001-00271 HI2000-0127. restricted access application/pdf European Mathematical Society