Divisors of a module and blow up

Autores: Ana L. Branco Correia, Santiago Zarzuela
Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 217, Nº 9, 2013, págs. 1773-1790
Idioma: inglés
DOI: 10.1016/j.jpaa.2012.12.008
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Resumen
- 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].