Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/195220
Title: | Divisors of a module and blow up |
Author: | Branco Correia, Ana L. Zarzuela, Santiago |
Keywords: | Àlgebra commutativa Anells commutatius Teoria de mòduls Commutative algebra Commutative rings Moduli theory |
Issue Date: | Sep-2013 |
Publisher: | Elsevier B.V. |
Abstract: | In this paper we work with several divisors of a module $E \subseteq G \simeq R^e$ 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 $\ell\left(\bigwedge^e E\right)$, related with the algebraic local version of Zak's inequality as explained in Simis et al. (2002) [17]. |
Note: | Versió postprint del document publicat a: https://doi.org/10.1016/j.jpaa.2012.12.008 |
It is part of: | Journal of Pure and Applied Algebra, 2013, vol. 217, num. 9, p. 1773-1790 |
URI: | http://hdl.handle.net/2445/195220 |
Related resource: | https://doi.org/10.1016/j.jpaa.2012.12.008 |
ISSN: | 0022-4049 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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