Resumen de Divisors of a module and blow up

Ana L. Branco Correia, Santiago Zarzuela

• In this paper we work with several divisors of a module E �º G . Re having rank e, such as the classical Fitting ideals of E and of G/E, and the more recently introduced (generic) Bourbaki ideals I(E) (Simis et al. (2003) [19]) or ideal norms [[E]]R (Villamayor (2006) [23]).

  We found several relations and equalities among them which allow to describe in some cases universal properties with respect to E of their blow ups. As a byproduct we are also able to obtain lower bounds for the analytic spread .( .e E), related with the algebraic local version of Zak�fs inequality as explained in Simis et al. (2002) [17].