RT Journal Article
T1 Divisors in global analytic sets
A1 Acquistapace, Francesca
A1 Díaz-Cano Ocaña, Antonio
AB 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.
PB European Mathematical Society
SN 1435-9855
YR 2011
FD 2011
LK https://hdl.handle.net/20.500.14352/42135
UL https://hdl.handle.net/20.500.14352/42135
LA eng
NO MURST
NO GEOR
NO EC
DS Docta Complutense
RD 4 jul 2025